«a w .... ..... .......... ....,....... < w. 9‘ ._. .q- . _ ~ 1. {2" _ _ _ ,..._ ‘ .37....“ 7&3”: Z‘ ‘ ”5% ‘ - ' "£213.; m...“ u .-:,.....':.. L . . m. m..." .. ‘ d‘ I... ~ g...- ‘0‘ I.- M | GI” {f ‘. v A; ~ ”L 1-3.; ._.‘_ ‘u- z: - ‘ .- “ A~--t'«....m?.~..... ~..,..., . 4 ._ - . -u‘ . '”"‘*'*’v"r—-"‘r~:«:‘ , 2:... ..., ‘ . M.“ Mao- ‘ O”. I".~‘g" am ‘ I. 3‘ Him “0 _ ~ ‘ . .. .., . - . ”,1 a, . .., . - ,1 .- an {Una ‘ v . -: ‘ 0' ”T 3-— _.g.;.-n “1 ”3:11“: ‘ ¥._ .1 ur— -v'-v~‘:!-~ an; , a A W , ””3132'72.‘ » . v “N“«v-iv-iizvxwf-r ‘- " -.'—'.. 47-12%: I‘ . sf ‘ , ' ‘ 4: ga, Isl. 19‘ “an :2” ‘h M“. 7L1 ‘ 3 51.13 -L IIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIILIIIIIIIIII 3 1293 1038 This is to certify that the thesis entitled "The Quantification of Drive III: Privation of Food and Water" presented by Richard A. Behan has been accepted towards fulfillment of the requirements for M}..— degree in PSQ’Chol oay 22%;»? Majogprofesso Date /°2'6 'fé/ 0-169 MSU LIBRARIES RETURNING MATERIALS: RIace in book drop to remove this checkout from your record. FINES W111 be charged if book is returned after the date stamped be1ow. THE QUANTIFICATION OF DRIVE III. PRIVATION OF FOOD AND WATER BY Richard A. Behan A THESIS Submitted to the School of Graduate Studies of Michigan State College of Agriculture and Applied Science in partial fulfillment of the requirements for the degree of DOCTOR OF PHILOSOPHY Department of Psychology 195M \"\ g," \ ACKNOWLEDGEMENT The author wishes to eXpress his grateful thanks to Professors M. Ray Denny and Henry S. Leonard for their help and encouragement throughout the course of this investigation. {J Li: gh a» " } 3 THE QUANTIFICATION OF DRIVE III. PRIVATION OF FOOD AND WATER BY Richard.A. Behan AN ABSTRACT Submitted to the School of Graduate Studies of Michigan State College of Agriculture and Applied Science in partial fulfillment of the requirements for the degree of DOCTOR OF PHILOSOPHY Department of Psychology 1954 / Approved . ‘V The present thesis was concerned with a test of the Hullian theory of drive, using privation with reapect to e'q' food and with reapect to water. The position was formalized, and consequent theorems were tested. A combined activity box and panel-pushing device was used in the present study. The panel-pushing device was so arranged to provide a measure of force of reaponse, and of the number of trials to extinction. Forty-eight male albino rats were used as subjects in the study, and were divided into two major groups: 1. Twenty-four animals deprived of water; a. Twelve animals given a large reward (0.20 cc) b. Twelve animals given a small reward (0.12 cc) 2. Twenty-four animals deprived of food; a. Twelve animals given a large reward (0.32 gm) b. Twelve animals given a small reward (0.08 gm) All animals were given habituation training in the apparatus during the first five days of the eXperiment, while on an ad lioitum feeding schedule. Activity level was recorded. On days 6 through 13 all animals were trained on the panel-pushing task, under 22% hours of apprOpriate privation and reward. Each animal was given ten trials per day. Activity level was recorded on all 8 days, and force of response was recorded on the last 3 days. At the completion of the training series the animals went immediately to the testing series, where they were tested after different numbers of hours of privation, 1.8., on 1, 2, 6, 12, 22% and hB hours of apprOpriate privation. The order of presentation of privation levels was randomized for each animal. Each animal was given h trials per day. Activity level and force of reaponse were recorded each day. At the conclusion of the testing series each animal was extinguished on one of the above mentioned hours of privation. The results are as follows: .la Activity is not a reflection of privation, ESE s3, but is rather dependent upon the amount and kind of reward in interaction.with privation, and on a learned anticipation of reward. _2. A general concept of drive is not tenable, because the correlation between the food and.water groups, when activity is constant, was not significant. '3. A drive concept is not tenable, because the water groups did not show the increase in behavior measures which the large food group showed. h. There is a significant interaction between the kind of reward substance and the privation level. .5. There is a significant interaction between the amount of reward substance and the privation level. The implications of the study for activity as a measure of drive, and for drive as an eXplanatory construct, were discussed. The category of need was discussed, and an alternative interpretation of need, as interaction, was suggested. INTRODUCTION . THE THEORY OF DRIVE. STATEMENT OF PROBLEM PREDICTIONS. SUBJECTS . . APPARATUS. . PROCEDURE. . RESULTS. . . DISCUSSION . TABLE SUMMARY AND CONCLUSIONS. REFERENCES . APPENDIX . . OF CONTENTS Page 13 33 3h 36 37 I-l-7 7o 83 86 9O Table 10 ll 12 13 11} LIST OF TABLES Analysis of variance of the habituation activity for the four groups-to—be. . . . . . . Analysis of variance of the activity data on the mean of the last two days of habitu- ation, and on the first day of training . . . . Analysis of variance of the activity data for the training series 0 e e e e e e e e e e 0 Analysis of co-variance of activity level on the testing series . . . . . . . . . . . . . Pattern of differences, significant at the one percent level of confidence, for the testing activity for four groups. . . . . . . . Summary of the analyses of variance of ECtIVity at GXDinCtion. a e e e e e e e e e e 0 Analysis of variance of force of response on the last three days of training for the fOOd gFOUpS e e o 0 e e e e e e e e e e e e c 0 Analysis of variance of force of reaponse on the last three days of training for the water groups. 0 e e e e e e e e e e e o e e o 0 Analysis of variance of force of reaponse on the testing data. 0 e e e e e e e e e e e e e 0 Pattern of differences, significant at the one percent level of confidence, for the testing force of reaponse, for the four'eXperimental gPOUpS. e e e e e e e e e e e e e e e e e e e 0 Summary of analyses of variance of the number of trials to extinction. . . . . . . . . Analysis of variance of deviations from linearity for activity on the testing series. . Analysis of variance of deviations from linearity for the force of reaponse on the testing series. 0 e e e e e e e e e e e e o e 0 Parallels between the notation of the general theory of measurement, and the present theory of drive, in the case of food privation . . . . Page I48 50 52 5h 57 S9 59 60 63 66 67 69 69 18 LIST OF FIGURES Figure Page 1 Apparatus e e e e e e e e e e e e e e e e e e e 38 2 Activity level on each of the five days during the habituation series, and on the first day or training . e e o e e e e e e e e e #9 3 Activity level on each of the eight training days for four eXperimental groups. . . 53 h Activity level on each of six levels of privation for four eXperimental groups. . . . . S6 5 Force of reaponse on the last three days of training for four eXperimental groups. . . . 61 6 Force of response on each of six levels of privation for four eXperimental groups. . . . . 6S INTRODUCTION The present thesis has two objectives: first, a formalization of the Hullian theory of drive; and, second, a test of the empirical adequacy of this theory of drive. This introductory chapter attempts to do three things: first, to isolate the Hullian theory of drive; second, to consider the theory of drive in the context of the larger theory of which it is a part; and, third, to consider the empirical research which bears on the task of testing the part-theory of drive. The part-theory of drive finds its most complete elaboration in the Principles 2: Behavior (16), and this book will be used as the source for the drive theory. The latest revision of the general behavior theory, of which the drive theory is a part, is presented in A Behavior System (17). It is unfortunate that we have to go to two sources, but Hull did not deal with drive as completely in his System as he did in his Principles. Hull's theory of drive begins with the assumption that animals behave in such a way as to provide Optimum conditions for survival. From this general assumption Hull arrives at the notion of 233g. Hull says: " ... when a condition arises for which action on the part of the organism is a prerequisite to optimum probability of survival of either the ,h_,. individual or the species, a state of need is said to exist. Since a need, either actual or potential, usually precedes and accompanies the action Of the organism, the need is often said to motivate or drive the associated activity. Because of this motivational characteristic of needs they are regarded as producing primary animal drives." (16, p. 57). Drive is an intervening variable, and as such is not directly observable. However, if it is to be a satisfactory intervening variable it must be defined by reference to events which are themselves observable. Hull defines drive in terms of privation.with respect to a need and the amount of energy expended by an animal in an effort to get the needed substance. Hull says: "Specifically, the amount Of food need clearly increases with the number of hours elapsed since the last intake of food; here the amount of hunger drive (D) is a function of observable antecedent conditions, 1.6., of the need which i§fimeasured by the number of hours of food privation. 0n the other hand, the amount Of energy which will be eXpended by the organism in the securing Of food varies largely with the intensity of the hunger drive existent at the time; here the amount of 'hunger' is a function of observable events which are its consequence." (16, p. 57-58). Drive abstracts from the specificity of need. Needs are specific for certain classes of environmental supports. Drive abstracts away from this specificity and is the resultant Of all Of the needs Operating at a given time. Hull says: "The drive concept, ... , is prOposed as a common denominator of all primary motivations, whether due to food privation, water privation, thermal deviations from the Optimum, tissue injury, the action of sex hormones, or other causes." (16, p. 239). If x \ ‘VI ‘Q ._, -m—o ‘ g _ I. individual or the species, a state Of need is said to exist. Since a need, either actual or potential, usually precedes and accompanies the action Of the organism, the need is Often said to motivate or drive the associated activity. Because of this motivational characteristic of needs they are regarded as producing primary animal drives." (16, p. 57). Drive is an intervening variable, and as such is not directly observable. However, if it is to be a satisfactory intervening variable it must be defined by reference to events which are themselves observable. Hull defines drive in terms of privation.with respect to a need and the amount of energy expended by an animal in an effort to get the needed substance. Hull says: "Specifically, the amount of food need clearly increases with the number of hours elapsed since the last intake of food; here the amount Of hunger drive (D) is a function of observable antecedent conditions, 1.6., of the need which IESmeasured by the number Of hours of food privation. 0n the other hand, the amount of energy which will be eXpended by the organism in the securing of food varies largely with the intensity of the hunger drive existent at the time; here the amount Of 'hunger' is a function of observable events which are its consequence.” (16, p. 57-58). Drive abstracts from the specificity of need. Needs .are specific for certain classes Of environmental supports. Drive abstracts away from this specificity and is the resultant Of all Of the needs Operating at a given time. Hull says: "The drive concept, ... , is prOposed as a common denominator of all primary motivations, whether due to food privation, water privation, thermal deviations from the Optimum, tissue injury, the action of sex hormones, or other causes." (16, p. 239). ,s The reader will note the use of the word energy in last quotation but one. This word energy will be interpreted to mean general activity in the present discussion. It is difficult to know just what Hull had in mind when he wrote this word, and an adequate test of the theory depends upon a correct interpretation. Whatever was meant by the word, it must be something observable, because it is to be one of the observables in terms of which the presence and amount Of drive are to be determined. Furthermore, it cannot mean one Of the four observables in terms of which reaction potential is measured, because this would introduce into the theory a nice tight circle. he word energy must refer to some observable which is independent of the remainder of the system. By the term general activity we refer to what an animal does when placed in a specific apparatus for a determined length of time. The apparatus used will be the MSC activity box, and the animal will be the white male albino rat. It is necessary to define activity in terms of the situation, for as Reed has pointed out at the start Of his review: Much Of the research to be reviewed depends upon a general concept Of Spontaneous activity without regard to how the activity is measured. It will become evident in the course Of the review that our concept Of activity must be tied to the measure Of it which we have used, ... . (27, p. 393). The elements of the Hullian theory of drive may be summarized as dummy equations% as follows: Let: "f", "g" and "h" denote functions, "a" denote magnitude of activity, "d" denote magnitude of drive, "n" denote magnitude Of privation with respect to a need, then, d = NM (1) a = g(d) (2) An interesting consequence Of this position is that a = MM (3) We may now consider the relation of drive to other concepts of the Hullian system. Hull considers that the performance of a.particu1ar pattern Of behavior is dependent upon the strength of the effective reaction potential for that pattern of behavior. There are five variables which determine reaction potential in the Hullian system. One Of these, drive, is the subject Of the present thesis. The others are: 2, habit (SHR)’ which is determined by the number of reinforcements to the reaponse being learned; 3, incentive motivation (K), which is dependent upon the quantity of incentive given as reward; h, stimulus intensity dynamism (V), which is dependent upon the intensity of the stimulus; and S, delay of reinforcement (J), which is ”We speak of dummy equations because the expressions used are not equations. The letters "f", "g", "h", etc. represent functions which are unknown; hence the expressions make no assertions. They are, rather, assertions Of dependence, and the hOpe that some mathematical function will describe this dependence. dependent upon the time interval between the making of a response and the receipt Of reward. (18, p. 6-8). Hull's basic equation for reaction potential, “15%. may be written as SER=CxDxK (14-) where C is a constant determined by lumping all Of the variables except D (drive) and K (inceptive motivation) and holding them constant. We wish to point out here that C is a constant determined by holding each of the components of C constant. C could remain constant even if all of its components were not constant, if their variations compen- sated for each other. This latter method of holding C constant is not what is meant in the present formulation. This second method of holding C constant is fundamentally weaker than the method adOpted for the present interpre- tation. It would have to be shown empirically that there were no interactions between the variables SHR’ V and J before it could be legitimately used. The equation for reaction potential as it will be used in the present study is represented by (h). D and K will be variables. D will be varied in the test of the part-theory of drive. K was chosen as a variable because of the possi- bility that there may occur interactions among the different values of the variables. As the Hullian system is set up today there is implicit the assumption that the components of reaction potential are independent. However, this assumption may not hold when we deprive animals of food to set up drive, and then reward the animal with food for the performance of a given response. If we now find some magnitude of water reward which is behaviorally equivalent to a given magnitude of food reward*, we may eliminate K from the above equation (A). If we, then, let "e" denote the magnitude of reaction potential we may rewrite (h), in terms of our previous notation as e = cf'(d) (5) where c is a constant. An interesting consequence Of (1) and (S) is o = cs'(n) (6) Drive as a function of privation The studies of Herenstein (15), Kimble (l9), Yamaguchi (hl) and Cotton (7) were direct tests of equation (6). These investigators all used food privation and food reward, and their results in general support the assertion of (6). Cotton's results, however, suggest a limitation on the generality of the Hullian theory. Cotton measured running time in a straight alley, and when he eliminated trials on which competing responses occurred, he showed that the decline in running time with increased privation approximates *Davis (8) has shown that 0.08 gms. of food reward was behaviorally equivalent to 0.20 cc. Of water reward, using the panel-pushing device. a straight line, rather than a negatively accelerated decreasing curve. Hull has used the results Of'Yamaguchi's study as a first approximation to the drive function, at least that based on food privation. The writer was unable to find any studies on water privation, comparable to these based on food privation. E. E. Anderson (I) conducted an extensive correlational study on the interrelationship of drives in the male albino rat. He obtained intercorrelations among A7 different tests, using 51 male albino rats. Anderson concluded that in general neither the thirst nor the hunger tests correlated significantly. He states "intercorrelations between measures Of different drives, on the whole, are somewhat Sporadic in occurrence, and there is little evidence of any important 'general drive' factor influencing performance upon a large number of tests. There is however, some slight indication of relationship between such direct tests of different drives as eating, drinking, and Opulation tests." As the term 'food privation' and the term 'water pri- vation are used in the eXperimental literature, one receives the impression that the two are independent. This is not the case. Finger and Reid (10) and Verplanck and Hayes (37) have shown that when animals are deprived of food they automatically deprive themselves Of water, and conversely. The results of the rather extensive study by Verplanck and Hayes hae been confirmedby (31) and (5). It is thus seen that to deprive animals of food is to simultaneously deprive them of water, and conversely. Activity as a function ofgprivation Equation (3), 1.6.. a'= h(n), has been the object of a large number of experimental researches. The literature on activity as a function of the number of hours of privation is very extensive. Since there have been a number of excellent reviews of this material we will be primarily concerned here with studies which have been directly concerned with activity as a function of differences in privation. Of the general review articles we may mention the Bulletin article by Shirley (29) which includes work up to 1929, and the later Bulletin article by Reed (27) which covers the work between 1929 and 19h7. Richter (28) has summarized the research on activity which has been done under his direction. Munn (26) has a summary of the work on activity which was completed up to the I publication of his book. The two methods that have mostly been used for the study of activity have been the running drum and the tambour- or spring-mounted cage. The running drum consists of two circular boards mounted on an axel shaft and separated by a sheet of wire mesh wound around their periphery. This basic design has been modified in a number of ways. One may vary the diameter of the boards, arrange the living cage so that the animal may enter the drum at its leisure, or confine the animal to the drum for given periods of time. One may record the total activity by attaching a counter to the drum supports in such a manner that each revolution of the drum advances the counter one unit, or one may record activity as a function of time. Reliability measures using this device are on the order of .95, but it is unknown whether this value reflects the reliability of the measure- ment of activity or whether it reflects the consistency of different drums. The tambour- or spring-mounted cage is a small cube of wire mesh mounted at three points on either a spring or an air tambour. The latter is the more effective because the air pressure provides some dampening effect. This piece of apparatus has also been modified in a number of ways to study various aspects of activity. Other devices that have been used to study activity are tilting cages, utilizing the movements of the animal to interrupt the beam of light which activates a photoelectric cell, a horizontal turntable, the pedometer, and various observational methods. The most interesting thing about all of these methods is that they give different results, and modifications of one apparatus give still different results. It is thus necessary to know what kind of an apparatus was used to record activity before one may interpret the results. With respect to food and water it is commonly accepted that privation will increase activity up to a point, after which further privation is accompanied by a decrease in activity, probably due to physical weakening of the animal. 10 Most of the attempts to quantify the relationship between the number of hours of privation and activity have been done with food privation. Using the Columbia Obstruction Apparatus,‘Warden (39) has shown the number of crossings of the charged grid drOps off faster with water privation than with food privation. Siegel and Steinberg (30) have utilized the movements of the animal to interrupt a beam of light which activates a photoelectric cell to study activity as a function of food privation. These investigators used privation intervals of 0, 12, 2h, 36 and MB hours, and their results indicate that activity increases as a negatively accelerated function of the number of hours of privation. 'With reapect to this study it should be pointed out that the animals remained in their home cages all during the study and it is possible that the activity was influenced by expectancy of food. Hall, Smith, Hanford, and Schnitzer (13) report the results of a study designed to determine the effects of a restricted feeding schedule on activity level. These in- vestigators used 10 standard Wahmann activity drums, each mounted separately, and each provided with a small stationary living cage. All wheels were equated for frictional torque. Control animals had unrestricted access to food and water, while the eXperimental animals had unrestricted access only to water, being allowed access to food for one hour in the morning. The eXperiment was continued over a period of 20 11 days. These investigators report: "Although activity during the control condition remained relatively stable, mean daily activity during the experimental period rose to more than l,hOO percent of normal, reaching this level on the twelfth day of restricted feeding. The rise seemed to take the form of an exaggeration of the normal daily activity cycle, imposed upon a rising base line." Campbell and Sheffield (h), utilizing an activity recording device constructed by Campbell (2), report the results of a study from which they conclude that "Starvation does not instigate activity; it only lowers the threshold for normal stimuli to activity." The apparatus was a small round wire mesh cage, pivoted at the center of the base so that it would tip a maximum of 1/8 inch. Four sensitive microswitches were placed at each of the four quadrants. Activation of any of the microswitches advanced an electro- magnetic counter. The eXperimental animals were placed on an ad libitum diet for four days while in the apparatus. Then on the succeeding three days the animals were deprived of food, but not of water. On each of these three days the activity of the animals was recorded for ten minutes at noon, after which an environmental change was introduced and the animals' activity recorded again.for ten minutes. An environmental change consistently produced an increase in activity, and the magnitude of the change in activity was correlated with the change in the environmental condition, but not with increased privation. The results of this study 12 stand in striking contrast with the results of other studies in the area, and the reason for this may be found in the fact that "The apparatus usually fails to record certain small movements like scratching, but it records larger movements such as moving from one quadrant to another or shaking the cage." (h, p. 320). In other words, the method may not be very sensitive. Thompson (36), using a rectangular elevated.maze, has studied the exploratory activity of maze bright and maze dull rate, under three conditions of privation: 0, 2h and hB hours of food privation. He reports that while exploratory activity in an unfamiliar situation declines as a function of time, food privation increases the amount of eXploratory activity in which animals engage. Male rats show a steady increase in eXploratory activity as privation increases from O to AB hours, while for female rats the maximum of exploratory activity is reached after 2h hours, as measured. Maze bright and maze dull rats did not behave differently. Montgomery (25), using an enclosed Yhmaze has reported the results of a study which show that food or water pri- vation significantly reduces the amount of exploratory activity, the maximum reduction occurring at 2h hours of food privation. THE THEORY OF DRIVE Preliminary considerations It will be the purpose of the present chapter to set up the theory of drive in the notation of symbolic logic, so that testable consequences of this theory may be deduced as theorems. In this section on preliminary considerations, we shall attempt to relate the theory to conventional experi- mental methodology, to relate the theory to the more general problem of’measurement, and in general to explain what the task of formalizing the theory of drive amounted to. The first task is to relate the theory of drive to the conventional methodology of experimental psychology. Hull has stated his assumptions about drive in terms of individual aninals. We find him using in the Principleg 2; Behavior such phrases as "the organism", "an organism", ”the individ- ual" and "the individual or the Species”. It is obvious that Hull intended his speculations to apply to the animal as an individual. On the other hand, the conventional methodology of experimental psychology is not conceived in terms of the individual aninal. Groups of animals are used in psycho- logical experiments, and conclusions are drawn in terms of the behavior of these groups of animals. Furthermore, all of the tests of Hullian notions have been in terms of group “...—— 1h behavior. Consideration of individual animals results in failure of the theory (7). ‘What is demanded here is some sort of an individual which has its genesis in a group, or in a class of individuals. Leonard and Goodman have provided such a conception in their calculus of individuals (22). This is the fusion-individual, or sum-individual, of a class of individuals. The fusion- individual has the same logical type as the individuals which are members of the chiss, but derives from the class itself. The notion fusion is conceived as a heterogeneous relation between an individual -- the fusion-individual -- and a class. An individual is said to stand in that relation to a class, when everything that is discrete from the individual is discrete from every member of the class, and conversely. Their first postulate assumes that every class which has members has a fusion-individual, 1.9., has a sum. Therefore, in view of the above considerations, we will understand by the term organism, a sum-individual of a class of individuals. When we use the term animal we will under- stand the common-sense usage of the term, e.g., g rat is an animal, 5 dog is an animal, 2 human being is an animal. The theory of drive, as an empirical theory, is inti- mately related to measurement. We will want to speak about the amount of drive Operative in a given situation. Or, to speak more precisely, we will want to speak about the magni- tude of the drive of a given organism. The use of the phrase C 9. I I r .- V‘ " ”—I—Q .- m.— \ ... e p — t 3 0 v I c E e 7" ,‘ the magnitude 23 drive in equations that represent empirical situations, implies that we have at hand some method of determining the magnitude of drive. The theory of drive is, in fact, an application of the general theory of measure- ment to a concrete situation, 1.6., every measurement pro- cedure is a model of the general theory of measurement. How this is accomplished can best be explained by showing the parallels between the notation of the general theory of measurement (22) and the notation of the theory of drive. Some discussion of the general theory of measurement will have to come first. By the term measurement, we will understand the assign- ment of numbers as names of the preperties possessed by objects. This definition of measurement differs from that commonly found in the writings of psychologists, in that it is more restrictive. The definition excludes, from the class of measurement procedures, the assignment of numbers as names of objects. Thus, the use of numbers in a nominal sense is not measurement. It is to be emphasized also, that measurement is an empirical procedure. Measurement is some- thing that a person does, through the actual manipulation of events in the environment, in accordance, we would assert, with the above definition. A theory of measurement has as its purpose, the elabor- ation of the nature of the relationships which must exist between: (1) the objects of measurement; (2) the class of l6 preperties with respect to which the objects are measured; (3) the number signs which are used as names of the magnitudes of these preperties. The use of the phrase the glggg g; pgoperties in (2), above, is to be noted. A measurement procedure, that is, a valid measurement procedure, is con- cerned with only a single class of preperties. Examples might be heights, weights, numbers of moles on the body, Stanford-Binet I.Q.'s, etc. Comparison of any two such classes of preperties, say for example, Stanford-Binet I.Q. and number of moles on the body, would require additional empirical knowledge, and would involve two applications of the theory of measurement. The general theory of measurement (22) assumes three primitive ideas. These are: a class, K, of objects of measurement, e.g., buildings; a class, L, of preperties which the objects of measurement possess, e.g., heights; and a relation, R, which takes members of K as arguments, e.g., smaller than. According to the examples, aRb would be interpreted as building a is smaller than building b. Later theorems show that R has £952 of the preperties of the less-than relation which holds between numbers. Given the three primitives, three notions are defined. These are: a relation, S, taking members of K as arguments; a relation, Q, taking members of L as arguments; and a notation for the expression £22 magnitude 2; £22 prepertz, .it20: the member gf the property-class, possessed 21:33 'l O , O t t e o - K D g r _‘ ' I 17 object, i.e., ”mag(a)". Later theorems show that S has .3922 of the preperties of the relation identity, which holds between numbers; Q is an ordering relation for mag(a), and corresponds to the relation less-than which holds between numbers. Three primitive sentences, or postulates, are required. Postulate l asserts: if two objects, a and b, have the preperties M and N, respectively, then M is identical with N if and only if a stands in the relation S to b. Postun late 2 asserts: R is transitive. Postulate 3 asserts: there is some preperty, M, which a possesses. Between them, postulates l and 3 assert that each member of K possesses one and only one member of L. Theorems are then deduced which present interesting and important preperties of the relations R, S and Q. Three of these theorems are particularly important because of the formal parallelism between them and the ordering axioms for the real number system. These three theorems show that Q is an.ordering relation for mag(a). It is through these three theorems that the relationship between R and S and the number system is established. The present theory of drive requires five distinct applications of the theory of measurement. That is to say, we will be concerned with five different classes of preperties attributable to organisms, and also to animals. The animals considered will, of course, be rats; white, male, albino rats. 18 The five classes of preperties will be: 1, privation with respect to food; 2, privation with respect to water; 3, general activity; A, drive; and 5, reaction potential. To illustrate the parallelism between the general theory of measurement and the theory of drive we list in Table 1h, below, the corresponding notation for the theory of measure- ment and one of our classes of preperties. We chose priva- tion with respect to food. TABLE 1h PARALLELS BETWEEN THE NOTATION OF THE GENERAL THEORY OF MEASUREMENT, AND THE PRESENT THEORY OF DRIVE, IN THE CASE OF FOOD PRIVATION Theory of measurement Theory of drive "an "a" "mag( )" "priv( ,x)" "mag(a)" "priv(a,x)" A class of qualities M, N, A class of privations M1, 0, OtCe M2, M3, etc. mag(a). a DI,.(7M)(Ma) priv(a,x). = DI,.(7M)(Mx,a) Expressions like "mag(a)", Expressions like "priv(a,x)", "mag(b)" may be substituted "priv(b,x)" may be substi- for expressions like "M", "N” tuted for expressions like etc. "M1", "M2", Etc. Tables similar to 1h could be constructed to show the identical parallel relations between the notation of the theory of measurement and each of the other classes of preperties used in the theory of drive. 19 Four primitive ideas are required for the theory of drive. These are need, general activity, reaction potential and drive. Of these four, the notion of need is most interesting. Need is a notion which Hull borrowed from common-sense for incorporation in his theory. Hull speaks of actual and potential needs (16, p. 57). We will consider that needs are dispositional preperties of animals (6). That is to say, needs are constant. An animal has a con- stant need for such and such an amount of food per day. It makes no difference whether the animal has eaten its fill only ten minutes ago, he still needs a given amount of food per day. Similarly, in the case of water, an animal has a need for a constant amount of water per day; and for Optimal conditions it needs this amount of water regardless of the state of its thirst at any given time. It will thus be seen, that we chose the notion of potential need, not the notion of actual need. Instead of speaking of the actual need of an animal for a given substance, we will Speak of privation with respect to that substance. Thus, we hepe to make the notion 2323 a little less ambiguous. Need will be conceived as a relation between an environmental support and an animal. The expression "xNa" is to be interpreted as x is a need of animal a. Adequate treatment of the concept of need requires another symbol concerned with need, besides the relational symbol. We shall wish to speak of privation with reSpect to 20 a need. For this purpose the expression "priv(a,x)" is used, and is to be interpreted as the magnitude of the privation of a with respect to the need x. General activity is likewise conceived as a relation between the activity of an animal and that animal. The expression "yAa" is to be interpreted as y is the activity of a. ‘When we use the term general activity, or when we speak of the magnitude of the activity of an animal, it will be understood that we refer only to activity as measured in the present situation. Any other use of the term activity is a use which is not included in the present system, and the present system makes no statement about any other use of the term activity. We shall wish also to Speak of the magnitude of the activity of an animal. For this, we will use the expression "act(a)", to be interpreted as the magnitude of the activity of a. The notion of reaction potential was conceived, by Hull, as a relation between a stimulus and a response. He used it in the sense of a functor, i.e., a symbol taking number signs as values. Hull's use of the term reaction potential corresponded to the notation "mag( )" in the thesry of measurement. Unfortunately Hull was not consistent in his usage (16, pp. 3hh-3h5L We are here interested in reaction potential only in the sense of the magnitude of reaction potential. We will be concerned with a notation for the magnitude of reaction potential only, and with only those other considerations which Hull's general system forces upon us. As was explained in the introduction, it will be necessary to assume that all of the variables, in the Hullian system, which determine reaction potential, except drive and the magnitude of reward, are constant over all of the eXperi- mental groups. Thus, the measures of drive which will be obtained are measures of relative drive. Differences which we will seek are relative differences. The expression "ef(a)" is to be interpreted as the magnitude of the reaction potential of a. Likewise, the expression "dr(a)" is to be interpreted as the magnitude of the drive of a. Three postulates are required for the theory of drive. These three postulates correSpond to dummy equations (1), (2) and (S) in the introduction. The postulates are set up in the form of Carnap's bilateral reduction sentence (6), ices, Q1 03 OQZ 3 Q3 In each case Q1 corresponds to the assumptions that are necessary for the assertion of Q2 5,Q3. In each case Q2 §,Q3 corresponds to the dummy equations of the intro- duction. We have made one modification of Carnap's usage. For Carnap,'Q3 represents a dispositional predicate. For the present usage, we have modified this interpretation. Q2 and Q3 are the same sort of notion, predicates taking definite descriptions as arguments. It is necessary to 22 assume that the descriptions exist in each case. For example, in the case of priv(a,x) it is necessary to assume that the prOperty M, such that, a has M, exists. This assumption is made. The first postulate is: Ni:.= Nib.y6N7a:.(x):xeN?a.x.# y. >.priv(a,x) z pP1V(b,X):.S7. . priv(a,y)<.priv(b,y)33dr(a)éidr(b) Postulate 1 says, in affect, that'if two organisms, a and b, have identical needs, one of which is y, and if they have been equally deprived with respect to each of their needs except y, then the deprivation of a with respect to y is less-than that of b if and only if the drive of a is less- thanthat of b. Of course, y is the test need in this assertion, and it is necessary to assume that all of the organisms have all of their needs in common, as well as to assume that their privations with reapect to all of their needs, except y, are equal. The second postulate is: (Hu):.(v):ia : be.veA-?a3u '—= V:.~?e act(a) . act(a) (act(b) E dr(a) ( dr(b) P 3. ef(a)( ef(b) .-__-_ dr(a) (dr(b) The above prepositions are consistent with a universe of: (1) two distinct sum-individuals, a and b; and (2) four distinct elements, c, d, e, and f. Following are certain theorems derived from the primi- tive sentences, specifically for the purposes of testing in the present thesis: Verbal statement of the theorems On the hypothesis that two organisms have all of their needs in common, and that their degrees of privation with respect to all of their needs, except the test need, are equal, then: Th. 1. If their degrees of privation with reSpect to the test need are equal, then their drives are equal, and conversely. Th. u. If the degree of privation with respect to the test need of organism a is less-than that of organism b, then the reaction potential of a is less-than the reaction potential of b, and conversely. Th. 5. If their degrees of privation with respect to the test need are equal, then their reaction potentials are equal, and conversely. On the hypothesis that two organisms engage in the same activity, then: Th. 2. If their activity is equal, then their drives are equal, and conversely. Th. 8. If the activity of organism a is less-than the activity of organism b, then the reaction potential of a is less-than the reaction potential of b, and conversely. Th. 9. If their activities are equal, then their reaction potentials are equal, and conversely. On the assumption that all of the determiners of reaction potential, with the exception of drive, are constant for two organisms, then: Th. 3. If their reaction potentials are equal, then their drives are equal, and conversely. On the hypothesis that two organisms have all of their needs and activities in common, and that their degrees of privation with respect to all of their needs, except the test need, are equal, then: Th. 6. If the degree of privation of organism a with respect to the test need is less-than the degree of privation of organism b with reSpect to the test need, then the activity of a is less-than the activity of b, and conversely. Th. 7. If their degrees of privation with respect to the test need are equal, then their activities are equal, and conversely. On the hypothesis that two organisms have all of their needs and activities in common, and that their degrees of privation with respect to all of their needs, except the test needs, are equal, then: Th. 10. If the activity level of organism a is less-than the activity level of organism b, then the reaction potential of a is less-than the reaction potential of b, and conversely. Th. 11. If the activity level of organism a is equal to the activity level of organism b, then the reaction potential of a is equal to the reaction potential of b, and conversely. Theorems 10 and 11 are interesting, because the test needs can differ for a and b. For example, theorem ll asserts that if two organisms are deprived with respect to different needs, and if their activities are equal, then their reaction potentials are equal. 29 Theorems of the present system are designated "Th". Theorems from the theory of measurement are designated 'T", after leonardb practice. 5 311.1. 117a ‘N'b. 4,1”: IJRa:.(x):xeu'a.x¢y.). priv(a,x) ‘ priv(b,x):.). priv(a,y) ‘ priv(b,y) 5 dr(a) ‘ dr(b) Dem.‘ :l.*4.ll Hp(N,x,y,a,b).). '~[pr1v(a.3) < priv(b,y)] 3 ~[dr(a)< dr(b)] (1) (l)[b/a,a/b] Hp(N,x,y,b,a).). ~[priv(b,y) (Ju):.(v):A'a 3 A'b.ve A's ) u3vz.). act(a) 3 act(b) 3 ef(e) 3 ef(b) Dflme Sane proof as Th.10., starting with Th.9. STATEMENT OF THE PROBLEM The problem for the empirical part of this thesis was to put to experimental test certain of the theorems derived in the section on theory. Using water privation Theorems h, S, 6 and 7 were tested. Using food privation Theorems h, S, 6 and 7 were tested. Finally Theorem 11 was tested. In combination with the above, two magnitudes of food reward and two magnitudes of water reward were used in training the animals, to determine whether there was any interaction between the amount of reward and the degree of privation. PREDICTIONS Using Theorem h we have: Hyp. 1e Hyp. 30 HYp. “0 With food privation, the greater the level of privation, the greater the force of reSponse (Test data). With food privation, the greater the level of pri- vation, the greater the number of trials to extinction. With water privation, the greater the level of pri- vation, the greater the force of reSponse (Test data). With water privation, the greater the level of pri- vation, the greater the number of trials to extinction. Using Theorem 5 in conjunction with Hull's postulate on the magnitude of reward, we have: Hyp. Se HYPO 60 ‘With food privation, the force of response of the small reward group will be less than the force of response of the large reward group (Training data). With water privation, the force of the reSponse of small reward group will be less than the force of reSponse of the large reward group (Training data). Using Theorem 6 we have: Hyp. 70 With food privation, the greater the level of pri- vation, the greater the activity level (Test data). e e t e e C . g Q i e e e e O I ,‘9 Hyp e Hyp. Hyp e HYp e Hyp. 35 8. With food privation, the greater the level of pri- vation, the greater the activity on extinction days. 9. With water privation, the greater the level of pri- vation, the greater the activity level (Test data). 10. With water privation, the greater the level of pri- vation, the greater the activity on extinction days. Using Theorem 7 we have: 11. There will be no differences in activity among the four sub-groups in the training series. Using Theorem 11 we have: 12. For a given level of privation of food or water, where the activity level of a food privation animal is equal to the activity level of a water privation animal, the force of response of the food privation animal is equal to the force of reSponse of the water privation animal. SUBJECTS The subjects used in the present study were RB experi- mentally naive male albino rats from the colony maintained by the Department of Psychology of the Michigan State College. The ages of the animals at the beginning of their use as subjects ranged from 100 to 120 days. APPARATUS The apparatus used in the present problem was especially constructed for the series of problems of which this thesis is the third. Davis (8) and Smith (3h) used the apparatus in their studies, and with one minor modification the appar- atus is the same as they reported. The apparatus itself consists of a combination activity chamber and panel-pushing device, so constructed that one may obtain from it a measure of the activity of the eXperimental animal, as well as measures of reSponse latency and the force with which the animal reSponds. It consists of a 1/2 inch plywood box with overall dimensions of 20 x 16 x 11 inches. Figure 1 presents a cross-section of the apparatus. The bottom of the activity chamber was a false floor which was supported by three springs near the edge, and by a rubber ball at its center. At the four corners of the false floor, small, attached, rubber balls served as steps, preventing the floor from tipping more than 1/1, inch. ‘ A guillotine door at one end of the activity chamber, when raised, gave access to a hinged h inch by 2 inch panel. This panel was constructed of rectangular piece of plywood, 1/16 inch thick. At the upper end of the panel a small piece of 1/2 inch plywood, 2-1/2 inches long was attached. This formed the base for hinge. 38 28.:— Hausa no»: mbedmdmmd .mo wagdun 4au on» no nose :0 He>ea mua>ape< .N easmam N49 A 4 OOH com com 8: TEAS? XLIAILOV ANALYSIS OF VARIANCE OF THE ACTIVITY DATA COMPARING TABLE 2 THE FIRST DAY OF TRAINING WITH THE MEAN OF THE LAST TWO HABITUATION DAYS 50 Source of variance d.f. Sum of squares F p Total 95 1,232,86u.99 Between subjects A? 705,139.u9 Between groups 3 39,178.h9 .4]_ ns* Between subjects within groups uh 665,961.12 Within subjects h8 527,725.50 Days 1 217,6h6.26 33.70 .01 Days x Groups 3 25,910.11 1.3h ns Error uh 28h,l69.13 * ns denotes not significant (0 ,Q I, 51 days, indicating that the change from ad libitum feeding and watering conditions to 22-1/2 hours privation did signifi- cantly increase activity level. The analysis of variance of activity on the training series is given in Table 3 (see also Figure 3). There are differences significant at the five percent level of confi- dence between: (1) the four sub-groups, (2) large and small reward, and (3) successive training days. The difference between sub-groups can be attributed to the difference between large and small reward, since the differences between food and water, and the interaction term food-water—times-large— small-reward, were not significant. Thus, hypothesis 11 is not denied by these results. There was a general tendency for activity level to increase with successive days of train- ing, in the case of“the large food reward group only. The analysis of the activity levels on the testing series is given in Table A. Inasmuch as there were differ- ences in the training data, introduced by the use of two levels of reward, the analysis of the testing activity is a covariance analysis. Table A shows significant differences between privation levels. The F-value for this factor was significant beyond the one percent level of confidence. More interesting than this result, however, is the finding of significant F-values for the two interaction terms food-water-times-privation 1“ TABLE 3 ANALYSIS OF VARIANCE OF THE ACTIVITY DATA FOR THE TRAINING SERIES 52 Source of variance d.f. Sum of squares F p Total 383 13,310,719.ho Between animals h? 7,689,586.10 Between groups 3 1,h65,872.60 3.37 .05 Food vs water 1 323,292.16 2.23 ns* Large vs small 1 930,23h.hh 6.h2 .05 Food vs water x Large vs small 1 212,3h6.00 1.h7 ns Between animals within groups A3 6,223,713.50 Within animals 336 5,621,133.30 Days 7 231,818.50 2.09 0.5 Days x Groups 21 503,905.50 1.51 ns Days x food-water 7 176,519.7h 1.59 ns Days x large-small 7 170,911.5h 1.54 ns Days x food-water x large-small 7 156,h7h.22 1.hl ns Pooled animals x days interaction 308 h,885,h09.30 * , ns denotes not significant (a .‘ 53 .oazoaw Heuausaaogwo ndou new omen madmawhu unwao on» we game no Ho>oa hua>apo< .m oadmam H4O hops! Hamfim nous: omawu coca Hausa 600% owned 03 com com co: oom TEAS? ELIAILDV TABLE h ANALYSIS OF CO-VARIANCE OF ACTIVITY LEVEL ON THE TESTING-SERIES Source of variance d.f. Sum of squares F p Total Deprivation 5 692,590.h0 12.97 .01 Animals in 2,815,729.99 5.61 .01 Groups 3 179,291.98 1.50 ns* Foodpwater 1 53,2h3.28 1.33 ns Large-small 1 85,56h.26 2.1h ns Food-water x Large-small l 21,321.37 <11 ns Between animals within groups A3 1,715,892.77 Animals x Deprivation Groups x Deprivation 15 604,557.10 3.77 .05 Food-water x Deprivation 5 29l,h07.12 5.h6 .01 Large-small x Deprivation 5 182,989.30 30u3 001 Fooddwater x Large-small x Deprivation 5 126,962.09 2.38 .05 Error 219 2,339,737.83 * ns denotes not significant I. level and large-small reward-times-privation levels. The significance of the food-water-times-privation level inter- action term indicates that the food groups did not behave in the same way over the privation levels as did the water groups. Reference to Figure A and to Table 5 indicates that only the large food group deviated from the trend of the water groups. These data do not support either hypotheses 7or 9. The large-small-reward-times-privation level interaction term was significant for the same reason that the food-water- times-privation level interaction term was; i.e., the large food group deviates from the trend of the other groups. It is noteworthy that the large food group deviates from the trend of the other groups only with respect to the early privation levels. Table 5 is included to point up these differences in trend. A remark on the reliability of measurement of activity is in order at this point. Johnson (19, p. 136) recommends the use of the error term and the individual mean square in estimating the reliability of measurement. We obtain an estimate of the reliability coefficient if we subtract from unity the ratio of the error mean square to the individual mean square. Using this procedure, with the:resuh:s of the analysis of variance of the activity data for the training series, we have as an estimate of the reliability coefficient, Ilt‘xx = 00910 56 .mddopm Hencesaaoaxo ado.“ no.“ soape>apa no mao>oa Mam me Some co Ho>ea huaeapo< .: madman ZOHB<>Hzm mo mtDOm m: m.mm ma 0 NH Ill]. H0963 HH gm“ .lll. hopes owned ..I||.. doom Hagm |...|:|.ll.l. .....III coo.“ owes \..||.il.l|.|u I \\ \\\ . \, \ / \\\\\. .\\ ‘\ \\\\\\ /// \ \\\\\ \ \\\|\ I \\ . \ \ \ \\\ OOH com com 8: cm: 'IEAE'I IIIAILOV 57 : u n u m.mm . u - 1 n - u - NH Ho. Ho. so. u - u u a a n - u 0 Ho. Ho. Ho. . u u u u - u a n n u . u a m Ho. Ho. Ho. . s u u s u u u u s u a u u u u u a we m.~m NH 0 m m: m.mm ma 0 m m: m.mm ma o m a: m.mm ma e m coape>aaa mo medom coape>aaa we madom coape>aaa no masom soapmpana mo manom owwwq HHeEm omamq HHmEm poem aopmz mmDomu mDOh mme mom MBH>HBU< OzHBmwB mme mom .MOZMQHRZOO ho qm>mq Bzmommm mzo mme B< BZea Kan me home so omsoamoa no ooaom .0 ocsmfim zoqa<>asm m3 sizes m: m.mm ma e ma 7 1 om O .3 YIIit nous: Hausa lill. pope; owned . . Ooom Hamsn llllu OOOM OthH TDUOH HSNOJQBW HO 66 .. .. - .. ms... U U U U U U U U NH . u u u u . Ho. . . Ho. . u e 8. 8. .8. .. .. .. u .. 8. .. .. .. 8. n .. .. m HO. HO. HO. U U U U U U U HO. U U U U HO. .l U U U H we m.mm NH e m we m.mm ma e m we m.mm ma e m we m.mm ma 0 m coapm>aaa mo masom soapm>aaa we made: soauw>aaa no madom soapw>aaa mo mndom owned HHeEm owned HHeEm pooh sope3 mmbomo Adezmszmme mbom Ema mom mmzommflm @O momom mo OZHBmmB Ema mom .mozmmHmzoo ho Am>mq Bzmommm mzo Ema Ed BE¢OHEHZOHm .mmOzmmmmmHQ ho zmmeemu MBH>HBO¢ 93 3‘4“...” M... I... .II . .0. ma. . . $.ng eeH OON OOH OON ,mN ONO HO: Omm OOe ONO eHO OmN OH OHN mHH. OON meN eOH Oem mHm em ONO NON ON e N NH HON OOO OON oem OHN Nee Om: Oem emN NOO OO OOH HH OOH OON OmH OO eNN HHH eNm mON OOH OOH OOH :e OH mHN Ne OeH OeH eON Hmm Hmm NON HHN OeN NON HON e eNN OmH OOH HOH OOH eeN mmm ON OmN meN OH: Nmm O HNH OOH OOH OO: eds ONO mmm e: eHH ONH me OHN e OeH Oem eeN NNN om me eO meH OOO eOm mmm HOO O 9.5.5 ..Heuez owned OO eH HeH OeH OOH HeH HOO NH: NO OOO eNN mm OH eeH HN OH HOH OO mOH Hem OOe OOH O: NO: ONH NH HO 3O eON NNN mOH OOH OOO OeN me. m.N OO: mHm HH OOH meH OON OeH Os Nmm NOO men ONN HeN OH: Oe OH e O: OOH OOH OHH OOH OH: eNe mam HON OOO eem e mHH e: OOH emN HN aeN ON: MOO OON ONH OON NON m HmH NH OOH OOH ON eNN mm: we: mON me mOO meN eHH OmH OHm OeN ee OeH amN Hem OeH me OH: OON O @395 amps? Hamsm NH HH OH e O e O m e m N H see HOEHQ¢ OOOOOO Ome<2 O29 ems mom OHaaaen HOEHO< mo manom mmbomo Qoom GEE Ema mom mama mzHBmma Ema zo mqm>mq MBH>HBU< d mqmda 95 HOO Hes Oe OeO NOO NNO NeO Os: OON OOO ONO NNO O: eHH eeO ON eON ONN ONN ONO ONH eOH mo: NHO oeH O.NN NHH HON OOH ON: OO: OON NHO OOH OOO NNH OHO NO NH ON NOH NNH ON: eNO eeO OOO Oe OHN e HON OeN O OHH OOO OeH NOO OO HO: OOO ONN OOO NH OHO OO N NeH ONH OON eOO HOO NH: eeO HON ONO OOH NOO OO H 98.5 Loud: owned OON eON NNO eON Ne NOH OHO on HHO OON OeN eNN O: NNN eO OOH ONN ON eNH ONN OeN HNN OOH HON OO O.NN OO ON OON ONH e OOH NOO OOO OOH OOH eOO NH NH O OO HN OON N eO OOO ONO eN eO OON Oe O O eN eO OO HH eNO OO HO: NNN eNN ONH eOO N eO OO ONN OOH OH OeH OeH HOO OOH eO OHO NH H macaw peed; HHOSm NH HO ca 0 w w o m j m m H coauw>aamep HdEHCd MO Meadow mmbomw mama? 03M. awe mo.m mwed 6255mm; WEB zo mgmu EEHBU< O memee (IV (‘11 l! 7 (ill! . l'lullfllull 96 r. Erlv q]... .1..- ‘ o.ui-ll.o§.'u'ix-*tll’xlv.u!!. .K 0 (“1‘0 MNM r4 H 11“ O.eO 0.00 O.HO O.NO e.ON OH H.OO N.OO e.OO O.OO 0.0N NH Nee: O.OO e.OO N.ON O.Oe HH Odoac nepwz emaeq O.ON O.HO O.OO O.eN O.Oe e.ON O.HN N.ON 0.0N 0.00 OH 0.0N N.HO O.ON N.NN e.OO O.NN e.ON O.NN N.OO O.NO NH e.ON e.ee N.Oe 0.0N N.Ne 0.00 N.OO 0.0N O.ON e.OO HH deoao neeO3.HHOEm O.HO O.NO O.OO e.HO 0.00 e.NN O.HO O.eN e.eH 0.0N OH O.ON N.ON O.OO N.OO O.OO N.eN H.OO 0.0N O.eO O.NN NH 0.00 O.NO N.ON H.OO e.NO 0.0N 0.0N O.eH e.NO H.ON HH Ozopo pooh emawq N.HO O.NN e.eH N.NN O.ON H.NO 0.00 O.eO O.ON H.NO OH N.OO O.ON O.OH N.NN O.eN O.HO O.eO 0.00 e.OO N.OO NH 0.00 N.ON O.OH O.ON O.NO N.HN 0.00 0.0N O.NN O.HO HH Odopu poem HHeEm OH e O N O O s O N H OOO HesHe< UZHZHmmB mo deQ mmmme Bm $0.0 pm.> OH.m mo.m NH.m O0.0 ON.O eN.N O0.0 O: OO.m NH.O Ne.O O0.0 ON.O O0.0 N0.0. e0.0 O0.0 .He.O H0.0 OH.O O.NN OO.u O0.0 O0.0 ON.O NH.O oe.e O0.0 Ne.: ON.O ON.O H0.0 e0.0 NH H0.0 O0.0 O0.0 N0.0 ON.O O0.0 OH.O O0.0 O0.0 O0.0 .O0.0 NN.O O Ne.O HO.O OH.O OH.O ON.O Oe.O NH.O OO.N O0.0 O0.0 OO.O OO.O N OO.O ON.O OO.O OO.N ON.O He.O OO.O ON.O HN.: OO.O NH.N eO.: H Adena aeuwz emamq O0.0 O0.0 eN.O Oe.O OO.N O0.0 He.O ON.O N0.0 ON.O O0.0 NN.O O: H0.0 N0.0 ON.O OO.N ON.O OO.N N0.0 N0.0 O0.0 O0.0 N0.0 eO.: O.NN e0.0 ON.O N0.0 HN.N O0.0 O0.0 e0.0 O0.0 OH.O O0.0 H0.0 O0.0 NH NH.m NN.O HO.O eN.N OO.O OO.N NH.O ON.O NO.O OH.O OO.O OO.O O O0.0 OO.N e0.0 OO.N O0.0 O0.0 Oe.O ON.O eO. O0.0 N0.0 OO.N N e0.0 e0.0 OO.O HO.O OO.O OO.N O0.0 NH.O NO.O OO.:_ HO.O oe.: H Odopm nepN3.HHOEm NH HO 0H m w N o m d m N H coapmbfiamen HOEHO< . ho mHSOm OmHOmO ewes OON 2O OOOOOO Ome