EFFECTS OF pELAY OF INFORMATION FEEDBACK ; ,j, _ ., AND LENGTH OF POSTFEEDBACK INTERVAL 9N LINEAR ' f PROGRAMED LEARNING -- ' ' " ' 1965 --------- » NEG i} E: I75ff5é- E'7: 51 mama LIBRARY Michigan State University This is to certify that the thesis entitled EFFECTS OF DELAY OF INFORMATION FEEDBACK AND LENGTH OF POSTFEEDBACK INTERVAL ON LINEAR PROGRAMMED LEARNING I5 L . -,1 presented 1513 Frederick J. Boersma has been accepted towards fulfillment of the requirements for Ph.D. degree in Education Major professor Date December 14, 1964 0-169 ABSTRACT EFFECTS OF DELAY OF INFORMATION FEEDBACK AND LENGTH OF POSTFEEDBACK INTERVAL ON LINEAR PROGRAMED LEARNING by Frederick J. Boersma The controversial findings on delay learning were attributed to the failure of experimenters to control for the confounding effects of the intertrial interval with delay of information feedback (DIF), and post-information feedback delay (PIF). The study attempted to determine the indepen- dent effects of these delay variables in a complex learning task in which subjects (§s) learned a series of symbolic logic rules by programed instruction. Fifty-six §s served individually in a factorial design which combined two de- lays of IF (0 and 8 sec.), two postalF intervals (0 and 8 sec.) and a sex factor. The data did not support the prediction that human learning would be facilitated by increasing the post-IF interval, nor did it yield a significant delay or IF effect. But it did show that a simple explanation in terms or the 3 independent effects of delay of IF or postuIF is inadequate. In addition, the analyses of answer latencies revealed that ' “ ts SS Spent more time examining correct answers when treatmen . .‘ I 0 - S were associated with delayed rather than immediate IF. A Frederick J. Boersma predicted, all delay effects for response latencies were insignificant. A competing response interpretation of delay, similar to that developed by Spence and Denny, was formulated with respect to error scores, answer latencies and the de— lay variables. EFFECTS OF DELAY OF INFORMATION FEEDBACK AND LENGTH OF POSTFEEDBACK INTERVAL ON LINEAR PROGRAMED LEARNING By Frederick J. Boersma A THESIS Submitted to Michigan State University. in partial fulfillment of the requirements for the degree of DOCTOR OF PHILOSOPHY College of Education 1965 ACKNOWLEDGEMENTS To the members of my Doctoral committee, I owe a special word of thanks. To Professor Bernard R. Corman, for his valuable guidance in the development of my Doctoral pro- gram, and assistance in the direction of this dissertation, I am especially indebted. I also wish to express my appre- ciation to Dr. Walter R. Stellwagen for his assistance in the complexities of the experimental design. A further word of thanks is due to Dr. M.R. Denny and Dr. Jean LePere for their constructive criticisms of this study, and to Cornelius VanderVeen for his aid in experimentation. Finally, to my wife, Linda, for her consistant sup- port throughout my Doctoral program, I am grateful. ii TABLE OF CONTENTS ACKNOWLEDGEMENTS O O O O O O I O O O O O O O O 0 LIST OF TABLES O O 0 O O O O O O O O O O O O O 0 LIST OF FIGURES . . . . . . . . . . . . . . . . THEORETICAL ORIENTATION AND REVIEW OF LITERATURE METHODOLOGICAL CONSIDERATIONS . . . . . . . . . Subjects . . . . . . . . . . . . . . . . Procedure and Apparatus . . . . . . . . Design . . . . . . . . . . . . . . Design Note . . . . . Treatments . . . . . Dependent Variables . Reliability . . . . . . Hypotheses . . . . . . . . . . . . . . . O 0 O 9 O C 0 RESULTS . . . . . . . . o o o o o e o o o o o 0 Analyses of Error Scores . . . . . . . . Analyses of Latency Scores . . . . . Exposure Time Data . . . . . . . . . . Intertrial Interval Data . . . . . . . Questionnaire Data . . . . . . . . . . . DISCUSSION AND CONCLUSIONS . . . . . . . . . . . BIBLIOGRAPHY . . . . . . . . . . . . . . . . . . APPENDICES , . , , , , . . . . . . . . . . iii Page ii iv 53 58 Table 10 11 LIST OF TABLES Analysis of Variance on Program Errors . Analysis of Variance on Criterion Test Errors 0 O O D O O U 0 O O I O O O O O Summarized Mean and Variance Data for Program Error Scores . . . . . . . . . Summarized Mean and Variance Data for Criterion Test Error Scores . . . . . Analysis of Variance on Average Response Latency Scores . . . . . . . . . . . . Analysis of Variance on Average Answer Latency Scores . . . . . . . . . . . . Summarized Mean and Variance Data for Average Response Latency Scores . . . Summarized Mean and Variance Data for Average Answer Latency Scores . . . . Summarized Mean Exposure Time Data for Program Material . . . . . . . . . . . Summarized Data on Intertrial Interval Exposure Time . . . . . . . . . . . . Percentage Breakdown of Questionnaire Responses as a Function of Treatments iv Page 23 24 26 27 30 31 32 33 36 38 39 Figure LIST OF FIGURES Temporal Intervals Common to the Present S tUdy . Q C O O O O O O O O O O I O O A Geometric Interpretation of the Delay of IF by Post-IF Interaction for Program and Criterion Test Error Scores . . . . . . . . . . . . . . . Page 18 25 Appendix A HED’UWUOW «O’UOZKHWLI LIST OF APPENDICES I I O 0 O Q I I I l I I I I I I I I I I I I I I I I I I I I I I I I I I I I I I I I I I I I I I I I I I I I I I I I I I I I I I I I Page THEORETICAL ORIENTATION AND REVIEW OF LITERATURE Delay of reinforcement as an independent variable in the experimental study of learning dates at least to Watson's 1917 experiment on delay of reward in a digging response (Renner, 1964). Watson found that a 30 second delay had no 1 effect on acquisition and questioned the then widely held supposition that receiving a reward "stamped in" the most recent of a learner's responses. Watson's experiment marked the beginning of a continuing controversy about how empiri- cally established relationships between the immediacy of reinforcement and acquisition are to be interpreted. Contemporary theorists have mainly favored and exu tended either Hull's (1943) "law of effect" interpretation or Guthrie's (1952) "contiguity" explanation, although a few theorists have advocated two—factor theories in an attempt to bridge the gap between these conflicting positions (Skinner, 1938; Mowrer, 1960; Spence 1956, 1960). In part, theoretical distinctions between "contiguity" and "effect" interpretations of reward have been narrowed by the realiza— tion that differences often represent linguistic preference. For instance, even though Hull spoke of "drive—reduction" and Guthrie, "stimulus change" their respective students (e.g., Spence, 1956; and Sheffield, 1954) arrived at strikingly similar interpretations of the role of reinforcement. Both Spence and Sheffield considered acquisition to be the result of the contiguous occurence of stimulus and response and held to Tolman's (1955) distinction between learning and performance. In any case, the experimental evidence has not con— vincingly established the supremacy of any one monistic or two—factor theory, though there is little doubt that rein- forcement does play an important role in controlling both animal and human performance. Research with animals has established that delay of reinforcement retards acquisition, that delay combines cumulatively with other variables within the immediate situation, and that delay leads to an increase in resistance to extinction when S5 can mediate the delay interval. The explanation of these established relationships is in dispute. Spence (1956), argued that the constant den lay of reinforcement situation, in which §s remain without any necessity or opportunity for making the response to be learned, is a much more complex phenomenon than previously realized. A theoretical examination of classical and instruw mental conditioning with respect to such delay gives con- siderable support to his position. In classical and instrumental conditioning, for both animal and human gs, delay of reinforcement appears to be either a form of partial reinforcement in which the proportion of reinforcements is inversely related to length of the de- lay interval, or a form of experimental extinction in which the immediate situation remains unchanged and reinforcement fails to occur. This hypothetical interpretation of delay implies that the same frustration-aroused competing response tendencies which occur during extinction and lead to a decre— ment in conditioned response strength, will also occur dur- ing delay of reinforcement. Spence (1956, p. 154) stated that "occuring as these responses do to essentially the same components as does the to be learned instrumental response they likewise become conditioned to them," and that once such competing responses are established, that they "will have the effect of increas— ing the time it will take the appropriate response (to occur)." Rieber (1961), and a series of studies reported by Spence (1956), provided support for the supposition that maximum performance is dependent upon minimizing competing behavior (Carlton, 1954; Harker, 1950; and Shilling, 1951). Ramond's 1954 study, also reported by Spence (1956), hypoth— esized that competing behavior accumulates when S5 are not able to minimize conflicting behavior. A similar hypothesis has recently been proposed by Renner (1963). Spence (1960), surmised, contrary to Hull's work» fatigue concept of inhibition, that failure of occurrence of a reinforcer following a response results in a type of frustration inhibition. He stated that the strength of this frustration varies directly with the strength of the non- reinforced response tendency, and that this effect occurs since §s have learned to expect or anticipate reward which no longer occurs. This explanation led Spence to refer to his theory as a type of S—R expentancy theory. Spence's interference-frustration notions of inhibi- tion are similar to those proposed by Denny and Adelman (1955). Denny and Adelman hypothesized that frustration (non-reward) constitutes an eliciting state of affairs where cues associated with non-reward acquire the property to elicit avoidance responses, and that these avoidance responses compete with the to—be—learned responses. Similarly, Amsel (1958) stated that introduction of delay into a previously reinforced situation results in an emotional reaponse of frustration which promotes conditioned avoidances and a decrement in performance. Additional support for this frustration hypothesis has been reported by Adelman and Maatsch (1955). These Es found that rats allowed to escape from an empty goal box during extinction showed less loss of original habit strength than did those who were retained in the box. Adelman and Maatsch's data indicated that escape from frustrating conditions of extinction is conducive to the elicitation of fewer competing responses, and conse— quently, greater resistance to extinction. A somewhat more detailed analysis of the processes of acquisition and extinction in terms of competing responses has been published by Pubols (1958). Pubols hypothesized that resistance to extinction varies inversely with number of competing responses which have been extinguished during acquisition, and that readaptation to the original situation is a necessary condition for extinction. His position sug= gested that the greater the opportunity for competing res— ponses to occur, the slower the rate of acquisition and the greater the resistance to extinction. Although there are many theoretical interpretations of why constant delay appears to operate similarly to partial reinforcement during extinction, in experiments with animals this effect is probably best attributed to the acquisition of situational and/or reSponse produced cues formed in original learning which become reactivated during extinction and make it difficult for S3 to discriminate between condi— tions of acquisition and extinction. Researcher's have found it necessary to introduce additional variables and/or constructs to explain the effects of delay of reinforcement in human, as distinct from animal learning. Much of the research in human learning has dealt with the influence of delay of knowledge of results (KR) in simple psychomotor tasks. Greenspoon and Foreman (1956) found that increasing length of delay interval before in— forming §s about their performance reduced rate of acquisition in learning to draw a three inch line. A replication of the Greenspoon and Foreman study, using tighter controls, by Bilodeau and Ryan (1960), reported that delay of KR does not retard psychomotor performance, but a similar study by Ryan and Bilodeau (1962) proved inconclusive. The majority of re— ports, however, have indicated that delay does not retard at- tainment of a performance standard (Bilodeau and Bilodeau, 1958; Denny et al., 1960; McGuigan, 1959; Noble and Alcock, 1958; and Saltzman, Kanfer and Greenspoon, 1955). The delay of KR in these studies typically has been up to 30 seconds, although Bilodeau and Bilodeau (1958) used a seven day delay interval. Even more controversial findings have been reported when concept formation and verbal learning tasks were empha- Sized. For example, though Bourne (1957) did find that delay of information feedback (IF) retarded concept attainment in his 1957 study, his replication using tighter controls, failed to produce a similar effect (Bourne and Bunderson, 1963). In verbal learning, Saltzman (1951) found that delay inhib- ited acquisition, whereas Brackbill and Kappy (1962) found that it had no effect on learning. Generally speaking, re— vieWS of the literature on delay in more complex forms of human learning have reported that performance decreases as delay increases (Ammons, 1956; Renner, 1964; and Wolfe, 1951). More consistent relationships have been reported in the programed learning literature where the majority of the studies support Skinner's (1954) supposition that immediate reinforcement is a necessary condition for effective learning. For example, Angell (1949) using a Presseyatype punchboard, and Meyer (1960) using a linear program, found that students receiving immediate KR had significantly higher final exam— ination scores than did those who were given results at the next class meeting. Coulson and Silberman (1960), and Lums- daine (1960) have also attributed the effectiveness of auto— instructional material to the immediacy of KR as a reinforcer. But, other studies have reported that delay of KR has no effect on learning (Evans, 1960; Feldhusen, Ramharter and Birt, 1962; Hough and Revsin, 1963; McDonald and Allen, 1962; and Moore and Smith, 1961). And while a number of other researchers have reported significant differences in favor of immediate KR, they were mainly concerned with testing different methods of providing feedback (e.g., Krumboltz and Bonawitz, 1962; and Kanner and Sulzer, 1961). Thus, though the study of experimental delay goes back nearly 50 years, and though this research has demon— strated the retardation effects of delay in lower organisms, it has failed to generate such consistent findings with humans. In an attempt to resolve some of these contradictions, Bilodeau and Bilodeau (1958) ran a series of five psychomotor experiments to see what effect, if any, the intertrial in— terval (1T1) had on performance. Their rationale was that Es had failed to consider the confounding effects of 1T1 with delay or KR in the majority of the psychomotor studies. Four of these experiments indicated that the lTI was a critical variable in this type of learning task, while the fifth ex- periment suggested that post-KR delay may facilitate per- formance. These studies showed that delay of KR, up to a week did not effect performance in drawing a three inch line, but that performance varied inversely with length of the ITI. Denny, et al. (1960) attempted to control for possible carry—over effects associated with the familiar three inch line used by Bilodeau and Bilodeau by having §s draw 60 "glubs" (also a three inch line). They found, as did Bilo— deau and Bilodeau, that the period of time between responses was the crucial variable, i.e., the 1T1 (better learning with shorter intervals), and that delay of KR did not effect performance. Moreover, they surmised that "...previous ex- perience in conjunction with knowledge of the response to be learned will diminish the importance of the intertrial interval as a variable" for very simple motor tasks (Denny, et al., 1960, p. 327), Data reported by Becker, Mussina and Persons (1963) support this hypothesis in that they found the only significant variable operating in the drawing of a familiar three inch line was that of KR itself. Al- though their findings supported Bilodeau and Bilodeau's (1958) position that delay of KR is not crucial in simple psychomotor tasks, their data did not yield a similar ITI effect. Another recent attempt to explain the differential effects of IF and lTl was made by Bourne and Bunderson (1963). To control for possible confounding effects of the lTl with delay of IF and post-IF delay, they developed an experimental design which permitted them to vary these variables ortho— gonally, but maintain an average ITI between treatments. Bourne and Bunderson used this design to replicate Bourne's 1957 concept formation experiment. In this replication they found that delay of IF did not retard concept attainment, that increases in the post-IF interval lead to significant decreases in error scores, and that the post-IF effect became more prevelant as concept complexity increased. Bourne and Bunderson (1963) surmised that the dis— crepancy between Bourne's 1957 and their 1963 study, and the majority of the research reported on human delay learning, is due to the fact that Es have failed to control for pos— sible confounding effects of ITI with the post—feedback interval, and to consider such methodological factors as task complexity. Thus, it appears that the lTI ceases to function as a crucial variable for very simple tasks when §s have had previous experience with these tasks (Becker, Mussina and Persons, 1963), and for complex tasks (five dimension con— Cepts) when §s have not had previous experience with such tasks (Bourne and Bunderson, 1963). Results from studies employing wide ranges of task complexity which build in experience, as in programed instruction, are needed in order to determine optimal acquisition intervals for such tasks, and to demonstrate the effects of complexity on performance. Brackbill and Kappy (1962) hypothesized that §s used mediational cues acquired during acquisition to bridge the time gap between response and KR in their serial learning experiment. They suggested that the differential delay effects reported in human learning literature may be due to the fact that experimental tasks were such that §s could mediate during the delay interval in some cases, but not in others. In an attempt to provide support for this media— tional hypothesis, Brackbill (1964) replicated the 1962 study by initiating an interpolated task during the delay interval. She found that in this instance delay retarded performance and concluded that §s were unable to mediate the delay due to interfering (competing) behavior elicited by the inter— polated task. It should be noted, however, that even though Brackbill and Kappy (1962), and Brackbill (1964), did con- trol for the 1T1, they did not consider the effects of the post-delay on performance, as did Bourne and Bunderson (1963), and that consequently, their data is confounded and mis— leading. But, Brackbill and Kappy's mediation hypothesis is in agreement with Lorge and Thorndike“s (1935) earlier ques— tioning of the premise that delay of IF or KR retards all forms of performance. Lorge and Thorndike suggested that there are delay situations (unfilled) in which §s can 11 reinstate (symbolically) some form of response after-effect, and reach criterion just as quickly as if they had received immediate reinforcement. Similar mediational and/or response produced delay interpretations have been developed by other psychologists (e.g., Bilodeau and Bilodeau, 1958; Brown, 1949; and Erickson and Lipsett, 1960). These contradictory findings within the delayed learning literature might also be attributed to innate dif- ferences between animal and human learning with respect to the reinforcement variable. Such a differential explanation of reinforcement would hold that it is appropriate to speak of "reward" in animal learning, but that the constructs of "knowledge of results" and "information feedback" are more exact in human learning. This distinction, however, appears to be hypothetical rather than demonstrable, since the moti— vational characteristics of the §s used in the experiment usually determine whether or not reward (incentive) is pro— vided, and not differences in the reinforcement variable per se. For example, if intrinsic motivation is insufficient, as with animals and very young children, reward is usually provided; whereas, if it is adequate, as with normal adults and older children, only knowledge of results (KR) or in— formation feedback (IF) is given. Thus, it appears that reinforcement, KR and IF are operating similarly in both animal and human learning. Furthermore, these terms have been used interchangeably by a number of prominent 12 psychologists (e.g., Bourne and Bunderson, 1963; Brackbill and Kappy, 1962; and Skinner, 1954). Certainly unwarranted in human learning is the com- plete acceptance, without qualification, of delay of rein- forcement generalizations which state that a few seconds delay between response and reinforcement may mean the dif- ference between maximal learning and no learning whatever. There are, as we have shown, situations in which gs appear to mediate the delay interval and minimize its decremental effect. The frequent conflicting findings reported for the effects of delay in human learning may be due to the fact that $5 have generally failed to control for confounding effects of ITI with delay of IF and post-IF. Even in the Bourne and Bunderson (1963) study on concept formation, which did control for confounding effects of delay with 1T1, the data were not representative of the more complex forms of school learning. The experiment to be reported in this paper has attempted to extend existing knowledge on human delay learn— ing by examining the independent effects of delay of IF, and post—IF delay, on performance of a programed learning task in symbolic logic. This study differed from the pre— viously reported learning research on delay, in that the differential complexity of material within the program neces- sitated the use of §, rather than the E controlled, feedback intervals. This initiated a new variable into Bourne and 13 Bunderson's (1963) design on which the present study was based. But, this change in experimental procedure was im- perative if §s were to receive adequate IF. The signifi- cance of this study lies in its close resemblance to actual school learning, and in its use of a variable, not pre- viously examined as a function of delay, i.e., the S con- trolled feedback interval. It was predicted that the post—IF interval would be the crucial variable in this complex learning task, and that the effect of delayed IF would be negligible. It was further surmised that the § controlled feedback interval would not correlate with error scores, and that the data would resemble that obtained by Bourne and Bunderson (1963), since for all practical purposes, the E had controlled for confounding effects of ITI with the delay variables. METHODOLOGICAL CONSIDERATIONS Subjects Fifty-six volunteer students, 28 men and 28 women, enrolled in the College of Education at Michigan State Uni- versity were used as §s in this experiment. Their median age was 20 years and their cumulative mean grade point average was 2.66. These §s were randomly assigned to the four experimental conditions (14 per experimental treatment) to be described below, with sexes equally represented in each treatment. Procedure and Apparatus The Linear program in symbolic logic developed by Evans, Glaser and Homme (1962) was modified for use in this experiment. The final form of the modified program con= sisted of seven rules to be learned in 78 frames (See Appen- dix A). Items within the program progressed from simple to complex. Each frame was programed according to the Ruleg System developed by Evans, Homme and Glaser (1962). Com- posed responses were used in order to avoid cues associated With constructed responses. The symbolic logic material was chosen since it permitted the E to control for previous ex- perience, was fairly complex and yet held §s‘ interest. 14 The apparatus consisted of a MTA Scholar teaching machine, a Hunter timer and an Esterline-Angus recorder. The teaching machine and timer were wired so that the E could control the delay intervals. The Esterline-Angus re- corded latency to response and amount of time the § spent examining the correct answer. The program was advanced by die internal mechanism of the apparatus when S5 pressed a button. Subjects were allowed to control the amount of time they spent on each frame. The §s constructed a response following which either immediately or after an eight second delay they were informed of the correct answer. The amount of time spent examining the correct answer was also con— trolled by SS. After this second self—determined interval they were exposed again, either immediately or after an eight second delay, to the next frame. In all treatments, the stimulus material and the S's constructed response were withdrawn from view during the delay intervals. The lengths of the respective delays, i.e., the delays of IF and post=IF, were predetermined as a function of the treatment specifica- tions. Detailed initial oral instructions were given before BXposure to any of the programed materials to each § regard- ing the experimental procedure (See Appendix B). No further instructions were given to the §s during the period of ex= perimentation. Each § received a five minute break midway through the program and before administration of a criterion test after completion of the program. This test consisted of 10 true-false questions, 10 recall questions and 8 deductive— proof questions (See Appendix C); an open-ended general in— formation questionnaire was also included in the test battery (See Appendix D). Average total program running time per S was approximately two hours, and varied from one hour and twenty-five minutes to two hours and thirty—five minutes. Design A 2 X 2 X 2 factorial design was used with tWO de- lays of IF (0 and 8 sec.), two lengths of post—IF interval (0 and 8 sec.) and a sex factor. This experimental design permitted the E to vary the effects of delay of IF (DIF) and post-IF (PIF) orthogonally, to maintain an average inter- trial interval of 8 seconds between these two factors, and to control for possible massing effects between the various treatment conditions. Manama Due to the differential complexity of material with- in the symbolic logic program, it was necessary to allow §s to control exposure time to the correct answer, i.e., the length of the IF interval. This initiated a new variable into Bourne and Bunderson's experimental design on which the present study was based. However, this change was imperative 17 if the §s were to receive adequate information feedback. It was assumed that this change would not alter the relation- ship between length of IF intervals and number of errors associated with the respective treatment conditions. All zero order correlations indicated that longer feedback in- tervals were not accompanied by lower error scores. Treatments The four treatment conditions were identified as follows: 0-0 indicated complete self-pacing by §s, i.e., no delay of IF or post-IF delay; 0—8 indicated no delay of IF but an eight second post-IF interval; 8-0 indicated an eight second delay of IF but no post-IF delay; and, 8-8 signified an eight second delay interval before and after exposure to correct answer, i.e., before and after IF. Dependent Variables The dependent variables used in this study were two error scores, a response latency score and an answer latency score. Number of errors indicated to what degree §s responded correctly to program and criterion test items, and to the eleven deductive—proof and easiest items within the program. The correlation between program and criterion error scores was .875. Response latency referred to the average amount Of time spent by §s responding to programed items, and answer latency to the average amount of time spent by §s examining the correct answers to these items. 18 Figure 1 represents the temporal intervals. The intertrial interval was defined as that period of time be- tween response and the presentation of the next stimulus. The delay of IF interval (DIF) referred to the amount of time §s waited after responding before receiving IF, while the post-IF interval (PIF) referred to the amount of time §s waited after receiving IF before being exposed to the next frame. The IF interval was synonomous with the answer latency variable. FIGURE 1 Temporal Intervals Common to the Present Study DIF IF PIF /F_A‘_\ /”—”k_—‘\ s, ——————— m. -—-—+s———4$2 \ Y J ITI Re liabili_t_y Scorer reliability (testuretest) over a seven day Period was .963 for program errors and .981 for criterion test error scores. Recorder (interjudge) reliability was .994 for response latencies and .999 for answer latencies. The reliability of the criterion test was .843 (KR 21). Hypotheses General Hypothesis: Recent research in the area of human learning suggests that the post-IF interval may be a critical IIIIIIlll::::_________________________¥ i, l9 variable in mediated tasks and that delay of IF may not. The data indicate that human learning may be facilitated by increasing the post-IF interval and that the temporal rela— tionship between delay variables is negligible. This study will attempt to replicate these variables in a complex learn- ing task. Statistical Hypotheses: A. Analysis of summated error scores on pro- gram and criterion test 1. The delay of IF interval will not con- tribute a significant source of variance to the analysis, i.e., an increase in the delay of IF interval will not be accompanied by an increase in mean num- ber of errors. Rejection of this hy— pothesis will give support to the tra- ditional interpretation that delay retards acquisition. 2. The post—IF interval will yield a significant source of variance such that an increase in the post-IF inter- val will be accompanied by a decrease in mean number of errors. The sex factor will not contribute a significant source of variance to the analysis, i.e., it is hypothesized that females will perform as well as males on this task. The DIF and PIF interaction will be insignificant. Rejection of this hy- pothesis will indicate that delay of IF does affect post-IF delay, and that this effect is not constant over all levels of delay of IF in this form of learning. The DIF by sex, and the PIF by sex in— teractions will not yield a significant source of variance to the analysis. Rejection of these hypotheses will in- dicate that the delay intervals have differential effects on sex. The three~way interaction between DIF, PIF and sex will be insignificant in- dicating that these variables are independent. Analysis of mean response latency scores There will be no significant statisti- cal findings associated with any of the main or interaction effects for the analysis 21 of response latency scores. This will indicate that amount of time spent to solution will not differ (correlate) with the various treatment conditions or sex. C. Analysis of mean answer latency scores 1. The delay of IF interval will not con— tribute a significant source of variance to the analysis, i.e., an increase in the delay of IF interval will not be accompanied by an increase in answer latency scores. If this hypothesis is rejected, it will indicate the §s spent a significantly greater amount of time examining a correct answer when IF is delayed than when it occurs immediately. 2. It is hypothesized that all other main effects and interactions will be in- significant. If this supposition is supported, it will indicate that PIF' and sex do not affect answer latency scores, and that DIF, PIF and sex do not correlate with each other. RESULTS Analyses of Error Scores The analysis of variance summarized in Table 1 was performed on total program error scores. All main and in- teraction effects were insignificant except the delay of IF by post—IF interaction (1><.05 ). A similar analysis, sum- marized in Table 2, was performed on criterion error scores. In this analysis, the delay of IF by post-IF interaction failed to reach the .05 level of significance; however, it did exceed the .10 tabled value of the F distribution. Figure 2 represents geometrically the delay of IF by post—IF interactions for total program and criterion error scores. Summarized mean and variance data for total program error scores is presented in Table 3. Individual tests be- tween treatment variances revealed at the .01 level that treatment 8—0 was significantly more variable than treat- ments 0-0 and 8-8. All other tests between program error variances were negligible. Table 4 denotes mean and variance data for criterion error scores. All individual tests be- tween program error variances were insignificant. The analysis of variance for error scores on the eleven deductive-proof items within the program is presented in Appendix F. Here again, as in Table 1, only the delay of 22 23 TABLE 1 Analysis of Variance on Program Errors Source DF F Sex 1 .603 Delay of IF (DIF) 1 1.212 Postfeedback interval (PIF) 1 .004 Sex X DIF 1 .691 Sex X PIF l .041 DIF X PIF 1 5.640* Sex X DIF X PIF 1 1.301 Residual MS 48 (37.50) ;><.05 24 TABLE 2 Analysis of Variance on Criterion Test Errors Source DF F Sex 1 .002 Delay of IF (DIF) 1 2.161 Postfeedback interval (PIF) 1 .018 Sex X DIF 1 .001 Sex X PIF 1 .000 DIF X PIF 1 2.821 Sex X DIF X PIF 1 2.922 Residual MS 48 (22.59) MEAN NUMBER OF ERRORS 25 FIGURE 2 A Geometric Interpretation of The Delay Of IF by Post-IF Interaction For Program and Criterion Test Error Scores ——-——- PROGRAM ERRORS I4 _ ———-CRITERION ERRORS O-PIF I2 - '0 ‘ 8—PIF /°O-PIF 8 _. 6 _ '8-PIF 4 _ I J O-DIF 8‘9” 26 TABLE 3 i ! Summarized Mean and Variance Data For Program Error Scores Source N Mean Variance Male 28 11.15 42.78 Female 28 9.87 32.23 0—0 14 7.62 23.74 0-8 14 11.62 35.82 8=0 14 13.30 67.51 8—8 14 9.52 22.96 DIF—0 28 9.62 29.78 DIF-8 28 11.41 45.24 PIF—0 28 10.46 45.63 PIF=8 28 10.57 29.39 i TABLE 4 Summarized Mean and Variance Data 1 For Criterion Test Error Scores Source N Mean Variance Male 28 6.52 21.70 Female 28 6.47 23.49 O=O 14 4.59 26.29 0-8 14 6.55 28.55 8-0 14 8.58 19.19 8—8 14 6.27 16.35 DIF-0 28 5.57 27.42 DIF-8 28 7.43 17.77 PIF—O 28 6.59 22.74 PIF-8 28 6.41 22.45 28 IF by post-IF interaction was significant ( p<:.05 ). The analysis of variance, summarized in Appendix G, was performed on error scores for the eleven easiest program items. These items were operationally defined as those items on which average response latencies were equal to or less than 15 seconds. All main and interaction effects were insignificant for this analysis. These data indicate that the delay of IF by post-IF interaction is not present for program errors when length of program and/or difficulty is removed from the analysis. Appendices H and I summarize respectively mean and variance data for the eleven deductive—proof and easy items. The largest error scores in both of these appendices, as in the analysis of program and criterion test material, were associated with treatment 8-0. A rank order between treat— ments similar to that observed in the analysis of program and criterion error scores was obtained for deductive-proof, but not for easy items. Analyses of Latency Scores The analysis of variance, summarized in Table 5, was performed on average total program response latency scores. A significant sex effect was found at the .05 level indicating that females spent less time responding to each frame on the average than did males. All other main and interaction effects were insignificant. A similar analysis on average total program answer latency scores is presented in Table 6. This breakdown showed that female answer latency scores were on the average shorter than those of males (I><305 ). And, that §s spent a significantly greater amount of time examining cor- rect answers when their treatments were associated with delayed feedback conditions ( p<.01 ). Tables 7 and 8 summarize respectively mean and variance data for average program response and answer latency scores. No significant variance differences were found for response latencies. But, the breakdown of answer latencies revealed that treatments associated with delayed IF were significantly more variable than those associated with immediate IF ( p(.05 ). Appendices J and K represent respectively the analyses of variance performed on average response and answer latency scores for the eleven deductive-proof items. As in the analysis of program response latencies, females were found to have significantly shorter response latency scores than males. However, the analysis of deductive-proof answer latencies failed to reveal, as did the analysis of program answer latencies, significant sex and delay of IF effects. Appendix L gives mean and variance data for average deductive-proof response latency scores. Male response 30 TABLE 5 Analysis of Variance on Average Response Latency Scores Source DF F Sex 1 4.085* Delay of IF (DIF) 1 .398 Postfeedback Interval (PIF) l .255 Sex X DIF l .105 Sex X PIF l .413 DIF X PIF 1 .543 Sex X DIF X PIF 1 .263 Residual MS 48 (134.67) *p <.05 31 TABLE 6 Analysis of Variance on Average Answer Latency Scores Source DF F Sex 1 4.908* Delay of IF (DIF) 1 12.676** Postfeedback Interval (PIF) 1 .007 Sex X DIF 1 .268 Sex X PIF 1 1.266 DIF X PIF 1 1.911 Sex X DIF X PIF 1 .701 Residual MS 48 (2.80) ~kp<.05 *7‘: p<<.Ol 32 TABLE 7 Summarized Mean and Variance Data for Average Response Latency Scores Source N ' Mean Variance Male 28 48.83 185.19 Female 28 42.56 99.55 0-0 14 46.64 73.16 0—8 14 42.79 198.28 8-0 14 46.37 111.19 8-8 14 47.03 86.91 DIF—O 28 44.77 165.72 DIF—8 28 46.70 99.05 PIF-0 28 46.51 92.18 PIF-8 28 44.91 142.60 33 TABLE 8 Summarized Mean and Variance Data for Average Answer Latency Scores ‘ Source N .Mean Variance Male 28 4.73 3.62 Female 28 3.74 1.97 0-0 14 3.11 2.18 0—8 14 3.77 .98 8=0 14 5.32 4.51 8~8 14 4.74 3.52 DIF-0 28 3.44 1.58 DIF-8 28 5.03 4.02 PIF-0 28 4.22 3.55 PIF—8 28 4.26 2.25 34 latencies, although failing to reach the .05 level of sig- nificance, were approximately four times more variable than those of females. A similar summarization for deductive- proof answer latency scores is presented in Appendix M. Individual analyses of answer latency variances revealed that treatments associated with delay(s) were less variable than the non-delay treatment. Appendix N represents the analysis of variance per- formed on average response latency scores for the eleven easiest items. No statistically significant effects were observed; but, females spent less time responding to ques- tions than did males. The analysis of variance summarized in Appendix 0 abstracts answer latency data for these easy items. Significant sex and delay of IF effects similar to those obtained for total program items were found in this analysis. Shortest answer latencies were associated with females, and with treatments having immediate IF. Appendices P and Q summarize mean and variance data respectively for average response and answer latency scores for the eleven easiest items. All individual variance com— parisons between response latencies were negligible. How- ever, tests between answer latency variances revealed at the .01 level that female performance was significantly less variable than that of males, and that treatments associated with delayed—feedback were significantly more variable than those associated with immediate-feedback. 35 Exposure Time Data Table 9 denotes summarized average exposure time data for total program latency scores. No statistically significant differences were found between the four treat- ments for response latencies, however, the analysis of ,answer latency scores revealed that a significantly greater amount of time was spent by SS examining correct answers when treatments were associated with delayed-feedback. Total average exposure time in seconds for the four treat- ments was 49.75 for 0-0, 54.56 for 0-8, 59.64 for 8-0 and 67.77 for 8=8. As would be expected, the shortest exposure time was associated with treatment 0-0 and the longest with treatment 8-8. Intertrial Interval Data Theoretical and actual intertrial interval exposure time (ITI) for individual treatments is presented in Table 10. Theoretical ITI exposure time for treatment 0—0 was 0 seconds; for 0—8, 8 seconds; for 8-0, 8 seconds; and for 8-8, 16 seconds. However, the actual average ITI for treatment 0-0 was 3.11 seconds; for 0-8, 11.77 seconds; for 8-0, 13.32 seconds; and for 8—8, 20.74 seconds. The average theoretical ITI over all treatments was 8 seconds, whereas the actual average ITI over all treatments due to the confounding of ITI wita answer latency was 12.24 seconds. 36 TABLE 9 Summarized Mean Exposure Time Data for Program Material* Treatments 0-0 0-8 8-0 8—8 Total Exposure Time 49.75 54.56 59.64 67.77 Response Latency 46.64 42.79 46.32 47.03 Answer Latency 3.11 3.77 5.32 4.74 In seconds Questiqnpaire Data The analysis of questionnaire data is presented in Table 11. §s responses were categorized independently by two judges into behavioral classifications of fatigue (physical), frustration (competing responses) and mediation (task oriented information processing). Examples of repre- sentative classifications of responses are presented in Appendix E. There was 95% agreement between the classifica- tions of these judges. 38 TABLE 10 Summarized Data on Intertrial Interval Exposure Time* Treatments 0—0. 0—8 8-0 8-8 Theoretical ITI Exposure Time in Seconds 0 8 8 16 Actual Mean Exposure Time as a Function of Confound- ing ITI with the Answer Latency Variable 3.11 11.77 13.32 20.74 Theoretical Average ITI Equals 8 Seconds Actual Average ITI was 12.24 Seconds * In seconds 39 TABLE 11 Percentage Breakdown of Questionnaire Responses As a Function of Treatments Classification Treatments of Responses 0-0 0—8 8-0 8-8 Fatigue 43 (6) * O (O) 7 (l) 7 (1) Frustration O (0) 57 (8) 57 (8) 57 (8) Mediation 71 (10) 86 (12) 100 (14) 79 (11) 7': Each cell is based upon an n of 14. Numbers within parantheses indicate number of §s upon which percentage score is based. DISCUSSION AND CONCLUSIONS The data led to rejection of the general hypothesis which stated that human learning of complex material would be facilitated by increases in the post-IF interval irres— pective of variation in the delay of IF interval, and that the interaction between these delay variables would be neg- ligible. The results show that a simple explanation in terms of the independent effects of delay of IF or post-If is inadequate. The following decisions were drawn with respect to the statistical error hypotheses. First, the hypothesis that delay of IF in itself would not contribute a signifi— cant source of variance was accepted since treatments asso- ciated with delayed-IF were not accompanied by significantly larger error scores. This result was inconsistent with much of the literature on delay of reinforcement, but is in agreement with the conclusions of Bourne and Bunderson (1963) and Brackbill and Kappy (1962). Secondly, the hypothesis that the post—IF variable would contribute a significant source of variance was also rejected in that treatments associated with post-IF delay were not accompanied by significantly lower error scores. 40 41 1 Thus, the present data fail to support Bourne and Bunderson's 1 (1963) supposition that the post-IF interval is a critical variable in human learning. Where Bourne and Bunderson found that increases in the post-IF interval were accompanied by decreases in error scores, the effects of post-IF delay in this experiment were negligible. The unique result of the present study was the in= teraction between the delay of IF and post-IF variables. This interaction was found for both complete program and deductive—proof error scores. A similar interaction, although not as pronounced, was also present for criterion error scores . For all analyses, except that for easy items, where mean error scores were approximately the same, the fewest number of errors was associated with the self-pacing treat— ment, 0-0; second fewest with the treatment with the longest intertrial interval, i.e., treatment 8~8; third fewest with the treatment 0-8; i.e., the treatment with immediate feed~ back and an 8 second post-IF delay, and the greatest number of errors with the treatment with delayed feedback and no post-IF delay, i.e., treatment 8~O. The largest variance values for total program items were found with treatments having the greatest number of errors, and the smallest variances with treatments having'the fewest number of errors. 42 Statistically significant differences in error scores for sex or the other interaction effects were not found. The data obtained in this study are at variance with that reported by Bourne and Bunderson (1963), and by Brack— bill and Kappy (1962), in that while the former found a significant post-IF effect, this study did not, and while the latter found no delay of IF effect in agreement with Bourne and Bunderson, this experiment found that there were conditions under which immediate IF did lead to a decrease in error scores. Both in Bourne and Bunderson's, and the present study, delay of IF and post—IF delay were varied orthogonally. The essential difference between these two studies was that Bourne and Bunderson's tasks were peaked at a constant level of difficulty such that IF could be presented in a fraction of a second (a light flashed on the apparatus) and, as a result, the E completely controlled the ITI. Whereas, in the present study task complexity varied throughout the program and necessitated the use of E, rather than E con-= trolled IF, and consequently, complete E control of the ITI was impossible. Thus, Bourne and Bunderson's treatments are rela~ tively more massed than are those used in the present study. The effect of massing should be most prevalent in their self- paced treatment, Gel, and consequently, this treatment should be associated with.maximum error scores. Massing 43 . 1 should not occur, however, under self—pacing, such as that 1 used in the present study, where the E controls length of the IF interval. Moreover, the rank order between compar- able delay treatment means in Bourne and Bunderson's and the present study should be similar since massing should dissi— pate when delay or IF and/or post—IF delay is introduced into the experimental situation. This interpretation was supported by a comparison of comparable treatments between the two studies.1 Where Bourne and Bunderson found their 0-1 treatment to be asso- ciated with the largest number of errors, in the present study the comparable 0-0 treatment produced the fewest num— ber of errors. However, an examination of treatments where delay intervals were similar, revealed identical rank orders for all treatment means except those of easy items. The greatest number of errors was associated with treatment 0-8 (0-9), the second greatest with treatment 8—8 (8u9), and the third greatest with treatment 8—0 (8—1). Moreover, even though massing per se did not appear to be a crucial factor affecting performance in the present Study, 43% of the §5 in the selfupaced treatment did com- plain of physical fatigue due to length of program, whereas 7% or less made similar complaints in each of the delay 1Bourne and Bunderson‘s five dimensional concept treatments were used for this comparison. These treatments were chosen since the complexity of these tasks more closely resembled that of the tasks used in the present study, and since Bourne and Bunderson found the post—IF effect to be more pronounced for complex concepts. IIIIIIZL_______________________________44 444444 44 treatments. If fatigue due to massing is operating during complete self-pacing, as it appears to be, its influence should.be less than that associated with self-pacing in which the E provides IF in a fraction of a second. The controversial findings between Brackbill and Kappy's (1962) serial learning study, and the present one, can be attributed, in part, to the fact that their Es always. received IF in a fraction of a second (one second to be exact), whereas in this study, Es did not. Another dif- ference was Brackbill and Kappy's failure to consider the independent effects of delay of IF and post-IF delay. For example, even though they maintained an ITI of 20 seconds between their learning tasks, their immediate-feedback group .was accompanied by a 19 second post-IF interval and their delayed-feedback group (10 second delay) by a 9 second post- IF interval. Thus, their immediate and delayed feedback treatments were actually more representative, respectively, of the 0-8 and 8-8 treatments used in the present study. A comparison of their treatments, with the 0—8 and 8-8 treat- ments of the present study, revealed that the largest number of errors was associated with treatment O~8 (0-19), and fewest with treatment 8-8 (10~9). If Brackbill and Kappy had varied their delay vari- ables orthogonally as did Bourne and Bunderson, and had run 0-1 and 8—1 treatments, it is probable that they would have obtained an ordering among their treatment means similar to 45 Bourne and Bunderson's. If such data were compared with : that obtained in the present study, it should differ only with respect to treatment 0-0. And, this difference would be attributable to the fact that the E controlled the feed- back interval in the present study, whereas the E would have controlled it in Brackbill and Kappy's study. Analyses of mean response latency scores for total program and deductive—proof items, revealed that females spend significantly less time, on the average, answering questions (responding to), than did males, and showed less variability in performance. Similar findings, although not as pronounced, were found for easy items. All other null hypotheses were accepted as tenable. The analyses of mean answer latency scores revealed significant sex and delay of IF effects for total program and easy items, but not for deductive-proof items. More- over, the data indicated that females spent less time examin- ing correct answers than did males, and that a significantly greater amount of time was spent by Es examining correct answers when their treatments were associated with delayed, rather than immediate feedback conditions. It appears, that when IF was delayed, that the number of interfering (Competing) responses which the E had to process and/or eliminate while examing the correct answer was increased, and that consequently, it was necessary for him to spend more time examining correct answers under delayed, than immediate feedback conditions. —¥— _ 46 This interference interpretation of delay predicts that as delay increases competing responses will: (1) occur with increasing frequency, (2) lead to an increase in nume ber of errors, and (3) increase the amount of time neces~ sary for the appropriate response to be acquired. The in- significant delay of IF effect associated with deductive- proof items appears to be due to the fact that these items were too complex for the E to process (remember) over delay, and consequently, when IF did occur, the E could not remem— ber his original response 9359 he just moved on to the next frame. Additional support for this interference interpreta— tion of delay was obtained in the analyses of main effect variances where the data revealed, for both total program and easy items, that performance was significantly more variable under delayed than under immediate feedback con- ditions. This finding was reversed, however, for the analyses of deductive-proof variances where treatments asso— ciated with delay(s) were found to be less variable than the non-delay treatment. It appears that Es were not over- whelmed by the differential complexity of tasks within the total program per se, but that they were when the effects of deductive—proof items were considered alone. Thus, the data for total program items indicates that Es remembered their responses over delay when tasks were not to complex, and that Es increased the length of the feedback interval 47 when necessary, to determine where they had made a particular error. However, when tasks were extremely complex, as they were for deductive-proof items, it appears that there was too much information for Es to remember over delay, and that consequently, when IF did occur, they just moved on to the next task without trying to figure out where or why they had made a particular error. Further support for this interference interpretation was obtained from the analysis of the general information questionnaire. The questionnaire revealed that 57% of the §s in each of the delay treatments complained of frustration while working through the program. It appears that competing responses were initiated during delay, that these responses were overtly characterized in terms of frustration, and that Es were able to use the IF interval to process and/or eliminate many of these competing responses. Moreover, it appears that if delay of IF had been extended to the point where Es could no longer cope with these competing responses, that a significant delay of IF effect would have emerged. Similar competing response interpretations of delay have been formulated by Spence (1960) and Denny and Adelman (1955) for animal learning, and by Denny for human learning.2 These Es surmised, as does the present paper, that delay elicits competing responses which are overtly characterized 2Personal communication with M.R. Denny. Michigan State University, East Lansing, Michigan, Fall, 196 . 48 by frustration, that these responses become conditioned to the same stimuli as does the to~be-learned response, and that acquisition time increases as a function of increments in the delay variable. Consequently, such theories predict maximal learning to be associated with immediate feedback conditions. This competing response interpretation of delay ex- plains the individual treatment effects obtained in the present study. As would be expected, the self-paced treat- ment, 0—0, where delay was absent, was characterized by the fewest number of errors, and by shorter answer latency scores. Further, the questionnaire revealed that Es in this treatment were not bothered by frustration (competing responses) while working through the program. But, it did show that 43% of the Es in the self~paced treatment complained of physical fatigue due to length of program, whereas 7% or less made similar complaints in the treatments associated with de- laY(S). It appears that competing behavior was minimized under self-pacing, and that massing, rather than length of program was responsible for the fatigue effect in treatment 0-0, since for all practical purposes the effect disappeared when delay was introduced. Although the questionnaire also revealed that 71% of the Es gave responses indicating that they were actively involved (mediating) while working through the program, the data is somewhat misleading when compared g 49 with that obtained for delayed treatments since forced delays were not common to this treatment. However, the data of the self-paced treatment did show, when compared with that ob- tained for delayed treatments, that when delays are not in- discriminately forced upon Es, that Es vary delay as a func- tion of need, and that mediation still plays an important role in acquisition. In the treatment associated with the second fewest number of errors, i.e., treatment 8-8, Es spent a signifi- cantly greater amount of time examining correct answers than they did under the self—paced treatment. The questionnaire revealed that 79% of these Es were actively processing in- formation during delay, and that, whereas Es did not show signs of frustration under self—pacing, that 57% of the Es in this treatment did. These findings indicated that Es needed and used the IF interval to eliminate competing res- ponses which had developed during delay of IF, and that the post-IF interval allowed Es to further process feedback in— formation by minimizing competing behavior which would have occurred with the immediate presentation of the next frame. A secondary facet contributing to the effectiveness of treatment 8—8 was its association with the longest ITI, and consequently, with longest total program exposure time. The analysis of questionnaire data for the treatment associated with the third fewest number of errors, i.e., treatment 0—8, revealed that 86% of these Es were processing 50 information during the post-IF interval, and that 57% of these Es complained of frustration while working through the program. It appears that even though competing responses were minimized by immediate IF, that Es were not able to eliminate competing responses which occurred during post-IF delay, since they were not able to return to the original question or the correct answer, and that the presentation of additional frames led to an increment in the number of competing responses already present, and consequently, to an increase in error scores. The data associated with the treatment with the greatest number of errors, i.e., treatment 8-0, indicated that Es spent a significantly greater amount of time exam- ining correct answers under this treatment than they did under treatments associated with immediate feedback. The questionnaire showed that all (100%) Es were actively in- volved (mediating) during acquisition, and that 57% of these Es complained of frustration. These findings indicated as did those for treatment 8-8, that Es needed, and used, the IF interval to eliminate competing responses elicited dur- ing the delay of IF interval. However, the data for treatment 8—0 also indicated that the immediate presentation of the next frame, after IF, was conducive to the development of additional competing responses, since, this treatment was associated with maximum error scores and differed from treatment 8-8 only in that it L 51 lacked the 8 second post-IF interval. It appears that com- peting responses associated with the immediate presentation of the next frame combine with those already developed, and that therefore, error scores reach a maximum under this treatment. Although both Ramond (1954) and Renner (1963) have found support in animal research for such an additive inhibitory effect due to failure on behalf of Es to minimize competing responses, this problem has yet to be extensively investigated with humans. In summary, the data led to the rejection of the general hypothesis which stated that human learning of com» plex material would be facilitated by increases in the post~ IF interval irrespective of variations in delay of IF, and that the interaction between these delay variables would be negligible. The results show that a simple explanation in terms of the independent effects of delay of IF or post—IF is inadequate. Fewest number of errors was associated with the self—paced treatment 0-0, second fewest with treatment 8-8, third fewest with treatment 0-8, and the greatest num- ber of errors with treatment 8—0. As predicted, all delay effects for response latencies were insignificant. However, the analyses of answer laten— Cies revealed that Es spent a greater amount of time examin- ing correct answers when treatments were associated with de- layed-IF. A competing response interpretation of delay was o formulated with respect to error scores, answer latencies and the delay variables. 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New York: Wiley, 1951. __.,_._-_ .4 APPENDICES APPENDIX A Rules Covered in the Programed Material Wedge Adding (WA) 1. a 2. a.V’b (any letter) WA 1 Wedge Identity (WI) 1. a.V/a 2. a WI 1 Spear Separation (SS) 1. a—elb 1. 0 2. a p; 2. o—ajp 3. b SS 1,2 3. p SS 2,1 Tent Jointing (TJ) 1. z 2. a 3. z.flxa TJ 1,2 pg a/A.z TJ 2,1 Tent Disconnecting (TD) 1. a/A.b 2. a TD 1 D uble S ear (DS) 0 1. a24>b 1. c—a d ‘ 2. b-+ c p; 2. b—e c & mécDSLZ & bédDSLl tt Exchan e (LE) Le 1?r a/A b g 1. a\/ b 2. bAa LE1 95‘- 2. bVa LE1 58 APPENDIX B Instructions Given to Subjects You are about to learn some material by the method of programed instruction. Your task is to answer each ques- tion to the best of your ability from the material which you have learned. Please write down your answer on the Paper provided. When you have answered the question press the button and wait for the correct answer to appear. This Will enable you to see whether or not you have made a cor- rect response. When you have finished checking the correct- ness of your answer press the button again and wait for the next question to appear. If you have any questions please ask them now. You Will receive a short break mid-way through the program. Now press the button and begin. 59 M' APPENDIX C -- -‘—— __.__ Examples of Criterion Test Items The following examples show the instruction to SS and three sample items from each of the subtests. True-False Test In the following examples circle "T" if the LAST step is a correct example of the rule indicated. If it is an incorrect example, circle "F". T F 1. g—911 2. g 3. g SS 1,2 (Spear Separation) T F 1. a—a'b 1 2 x 3. b«—9c 4. a-dyc DS 1,3 (Double Spear) T F 1. b—é b 2. a\/ a 3. b WI 2 (Wedge Identity) 60 Solve the following problems by using the rule 61 Recall Test given at the LAST step of each example. a‘V/e LE 1 TJ 2,1 DS 2,1 (Letter Exchange) (Tent Joining) (Double Spear) f - __— ' —~ . h-‘ -- 62 Deductive-Proof Test In the following problems, use any rules that you want in any order that you want and as often as you.want to get to the Winning Step or "W". Do not spend too much time on any one problem. You may go back and work on an income plete problem later. Complete as much of each problem as you can. Do NOT forget rule initials and step numbers. 1. x—ézr 2. x / W: r‘v’k 1. ‘a/\ b /' W: b 1. In_911 2. n-—)O 3. x/W: KARI—'90 APPENDIX D General Information Questionnaire The following questions are those used in the gen- eral information questionnaire. Instructions to S: Please answer the following questions to the best of your ability. Do NOT be afraid to state your true impressions of the experiment. 1. What did you find yourself thinking about and/ or doing after making a correct response while waiting for the next frame to appear? 2. What did you find yourself thinking about and/ or doing after making an incorrect response while waiting for the next frame to appear? 3. Write down any comments which you might have on this experiment. CH O.) _ APPENDIX E Representative Classifications of Responses for Questionnaire Data Fatique: Frustration: Mediation: "It seemed to get tedious towards the end." "I kept thinking, 'When will it ever be finished?'" "I felt somewhat discouraged and became aware of my tiredness towards the end." "Possibly the program was about ten minutes too long." "I wished the machine would hurry up--it was frustrating when you had to wait." "It was somewhat confusing as the rules multiplied." "I found myself wishing I had a reference to all the rules in relation to each other at one time for study." "I often thought of unrelated things while waiting for the next frame to occur." "I kept going over in my mind the steps I had used to arrive at the answer." "I tried to think where I went wrong during the delay so that next time I would not make the same error." "I kept trying to remember the method I used for future problems." "I found myself rehearsing when I had to wait." 64 APPENDIX F Analysis of Variance on Error Scores for the Deductive-Proof Items Source ' DF , F Sex 1 .018 Delay of IF (DIF) 1 1.310 Postfeedback Interval (PIF) 1 .000 Sex X DIF 1 .080 Sex X PIF 1 .012 DIF X PIF 1 4.372* Sex X DIF X PIF l .031 Residual MS 48 (5.02) 7kp < .05 65 APPENDIX G Analysis of Variance on Error Scores for the Eleven Easiest Items Source DF F Sex 1 .877 Delay of IF (DIF) 1 2.013 Postfeedback Interval (PIF) 1 .211 Sex X DIF 1 1.628 Sex X PIF 1 2.093 DIF X PIF 1 .318 Sex X DIF X PIF 1 1.494 Residual MS 48 (.62) 66 - .--——. .fi‘ Summarized Mean and Variance Data for Error APPENDIX H Scores on the Deductive-Proof Items Source N Mean Variance Male 28 3.24 4.50 Female 28 3.32 5.54 0-0 14 2.31 4.67 O=8 14 3.56 4.60 8-0 14 4.25 5.90 8-8 14 2.99 4.90 DIF-0 28 2.94 4.63 DIF—8 28 3.63 5.40 PIF-0 28 3.28 5.28 PIF-8 28 3.28 4.75 67 APPENDIX I Summarized Mean and Variance Data for Error Scores on the Eleven Easiest Items Source N Mean Variance Male 28 .78 .88 Female 28 .59 .35 0-0 14 .43 .25 0-8 14 .65 .49 8—0 14 .85 1.14 8-8 14 .82 .91 DIF-0 28 .54 .37 DIF-8 28 .83 1.03 PIF-0 28 .64 .70 PIF-8 28 .73 .70 68 APPENDIX J Analysis of Variance on Average Response Latency Scores for the Deductive-Proof Items Source DF F Sex 1 5,0779: Delay of IF (DIF) 1 .228 Postfeedback Interval (PIF) 1 .029 Sex X DIF 1 .612 Sex X PIF 1 2.631 DIF X PIF 1 1.130 Sex X DIF X PIF l .002 Residual MS 48 (689.07) 7kp< .05 69 APPENDIX K Analysis of Variance on Average Answer Latency Scores for the Deductive-Proof Items Source DF F Sex 1 .655 Delay of IF (DIF) 1 2.007 Postfeedback Interval (PIF) 1 .048 Sex X DIF 1 .341 Sex X PIF 1 3.880 DIF X PIF 1 .415 1 .407 48 (22.87) Sex X DIF X PIF Residual MS 70 APPENDIX L Summarized Mean and Variance Data for.Average Response Latency Scores on the Deductive-Proof Items Source N Mean Variance Male 28 90.95 1160.70 Female 28 75.14 217.43 0-0 14 84.51 322.26 0-8 14 78.23 827.39 8-0 14 80.40 544.43 8-8 14 89.04 1062.19 DIF-0 28 81.37 574.82 DIF-8 28 84.72 803.31 PIF-O 28 82.45 433.35 PIF-8 28 83.64 944.79 71 APPENDIX M Summarized Mean and Variance Data for Average Answer Latency Scores on the Deductive-Proof Items Source N .Mean Variance Male 28 9.58 17.55 Female 28 8.54 28.15 0-0 14 7.89 50.43 0-8 14 8.43 10.16 8-0 14 10.52 15.50 8-8 14 9.42 15.42 DIF-O 28 8.16 30.29 DIF-8 28 9.97 15.46 PIF-O 28 9.20 32.96 PIF-8 28 8.92 12.79 72 APPENDIX N Analysis of Variance on Average Response Latency Scores for the Eleven Easiest Items Source DF F Sex 1 3.970 Delay of IF (DIF) 1 1.824 Postfeedback Interval (PIF) l .167 Sex X DIF 1 1.567 Sex X PIF 1 .720 DIF X PIF 1 .832 l .080 Sex X DIF X PIF Residual MS 48 (7-74) 73 A PPEND IX 0 Analysis of Variance on Average Answer Latency Scores for the Eleven Easiest Items Source DF F Sex 1 4.369* Delay of IF (DIF) 1 9.440** Postfeedback Interval (PIF) 1 .084 Sex X DIF l .685 Sex X PIF 1 .159 DIF X PIF 1 1.696 Sex x DIF x PIF 1 .944 48 (1.20) Residual MS *p<.05 *1— p<.Ol 74 APPENDIX P Summarized Mean and Variance Data for Average Response Latency Scores on the Eleven Easiest Items Source N Mean Variance Male 28 10.88 6.48 Female 28 9.40 9.00 0—0 14 10.13 7.72 0-8 14 9.15 8.49 8-0 14 10.46 5.79 8-8 14 10.83 8.96 DIF-O 28 9.64 8.11 DIF-8 28 10.64 7.37 PIF-O 28 10.29 6.75 PIF—8 28 9.99 8.72 1 1 1 1 1 1 75 fi‘ APPENDIX Q Summarized Mean and Variance Data for Average Answer Latency Scores on the Eleven Easiest Items 1 Source N Mean Variance Male 28 1.90 2.13 Female 28 1.28 .26 0~0 14 1.01 .12 0—8 14 1.27 .26 8-0 14 2.29 2.57 8-8 14 1.79 1.84 DIF-0 28 1.14 .19 DIF-8 28 2.04 2.20 PIF-0 28 1.65 1.35 PIF-8 28 1.53 1.05 76 3 1293 03196 0085 111111111