A course of two lectures per week, with practical work, throughout the year.
SYLLABUS. An elementary presentation of statistical logic and techniques as applied to problems of biology, medicine, agriculture, forestry, chemistry and physics, illustrated by the use of clinical, field and laboratory data. Scientific in- ference. Elements of probability. Model building ; random variables and prob- ability distributions, discrete and continuous; attribute аnд measurement data;
population and sample, parameter and statistic. Problems of estimation and hypo- thesis testing. Applications of the hypergeometric, binomial, Poisson, normal, t, F and chi-square distributions. Correlation and linear regression, with associated tests of significance. Elements of the design and analysis of experiments and of sampling surveys.
PRACTICAL WoRK. Two hours per week, involving training in the use of calculating machines and in general statistical computing.
A knowledge of mathematics up to the standard of General Mathematics at the Matriculation Examination will be assumed in this course.
Boous. (a) For preliminary reading:
Tippett, L. H. C.—Statistics. (O.U.P.)
Huff, D. How to Lie with Statistics. (Gollancz.) (b) Prescribed text-books:
*Lindley, D. V., and Miller, J. C. P.—Cambridge Elementary Statistical Tables.
(C.U.P.)
Finney, D. J —Experimental Design and its Statistical Basis. (Univ. of Chicago Press.)
Могопеу, M. J. Facts from Figures. (Pelican.)
Davies, O. L.—Statistical Methods in Research and Production. (Oliver and Boyd.)
(c) Recommended for reference :
Snedecoг, G. W.—Statistical Methods. (Collegiate Press, Ohio.) Quenouille, M. H. introductory Statistics. (Butterworth, springer.) Finney, D. J, An Introduction to Statistical Science in Agriculture. (Oliver
and Boyd.)
Mather, K.—Statistical Analysis in Biology. (Methuen.)
Wilks, S. S.—Elementary Statistical Analysis. (Princeton Univ. Press.) Brownlee, K. A. Industrial Experimentation. (H.M.S.O.)
Goulden, C. H.—Methods of Statistical Analysis. (Wiley.) Youden, W. J.—Statistical Methods for Chemists. (Wiley.)
EXAMiNATiON. One 3-hour paper on the lecture course and one 3-hour practical paper. Before admission to the examination, candidates must have satisfactorily completed the practical work.
THEORY OF STATISTICS PART I
A course of three lectures per week, with demonstrations, tutorial and practice classes, throughout the year.
SyLLAВus. Introduction to the theory of probability ; finite event space;
simple and compound events ; intersection and union ; assigning of probabilities to events; conditional probability ; independence of events ; problems involving theory of arrangements ; infinite discrete and continuous event spaces. Random variables ; probability distributions ; cumulative distribution function and probability density function ; parameters associated with distributions. Standard elementary univariate distributions (discrete rectangular, binomial, negative binomial, hypergeometric, Poisson, uniform, normal). Treatment of experimental data ; sample and popu- lation ; notion of decision rules for preferring one model to another. Acceptance sampling plans ; quality control technique. Exact treatment of 2 X 2 classifications for independence (binomial case). Distribution of sample statistics (arithmetic mean, sample variance and standard deviation, range, etc.). The t, F and chi-square distributions. Model building and testing ; confidence intervals for parameters.
Difference of proportions. Application of chi-square distribution to testing of hypotheses. Principles of experimental design and the analysis of variance tech- nique ; standard designs, one-way (completely randomized) , two-way (randomized blocks) and Latin square lay-outs, and extensions ; factorial design ; confounding in simple cases ; description of split-plot and incomplete block designs. Bivariate distributions ; the normal bivariate distribution; linear regression and correlation with two and three variables ; method of least squares ; analysis of covariance technique.
PRACTICAL Wоaк. Three hours per week, on problems and computations relating to the lecture course and involving the use of calculating machines, hand- operated and electric.
A knowledge of mathematics up to the standard of Pure Mathematics Part I will be assumed in the above course.
Booxs. (a) Prescribed tables:
*Lindley, D. V., and Miller, J. C. P.-Cambridge Elementary Statistical Tables. (C.U.P.)
(b) Recommended for reference:
bel,
P. G. Introduction to Mathematical Statistics. (2nd ed., Chapman &
Hall, 1954.) (This book is specially recommended.)
Davies, O. L.—Statistical Methods in Research and Production. (Oliver &
Boyd.)
Snedecor, G. W.—Statistical Methods. (Collegiate Press, Ohio.) Fisher, R. A., and Yates, F.—Statistical Tables. (Oliver & Boyd.) Wilks, S. S.—Elemeпtary Statistical Analysis. (Princeton U.P.)
EXAMINATTON. Two 3-hour papers. Before admission to the examination, candidates must have satisfactorily completed the practical work.
THEORY OF STATISTICS PART II
A course of three lectures per week, with demonstrations, tutorial and practice
classes, throughout the year. .
SvгΡ.LAnus. Discrete and continuous probability distributions ; transformation of variables in univariate and multivariate cases. Characteristic function. Deri- vation of the common sampling distributions. Theories of point and interval.
estimation. Theory of significance tests. Sequential analysis. Distribution-free methods. Probability theory. Regression analysis and linear hypotheses, with detailed application in the design and analysis of experiments.
PRACTICAL WoRK. Six hours per week, including computations involving the use of calculating machines.
A knowledge of mathematics up to the standard of Pure Mathematics Part II will be assumed in the above course. In addition, students will find it an advantage to be currently taking the course in Pure Mathematics Part III.
Candidates may be required to read original papers dealing with certain aspects of the course.
Воокs. (a) Prescribed text-books :
*Cochran, W. G., and Cox, G. M. Experimental Designs. (Wiley.)
*Mood, A. M. Introduction to the Theory of Statistics. (McGraw-Hill.) (b) Recommended for reference:
Aitken, A. C.—Determinants and Matrices. (Oliver & Boyd.)
Davies, O. L.—Design and Analysis of Industršal Experiments. (Oliver &
Boyd.)
Anderson, R. L., and Bancroft, T. A.-Statistical Theory in Research. (Mc- Graw-Hill.)
Kendall, M. G.—The Advanced Theory of Statistůs, Vols. I, II. (Griffin.) Wilks, S. S. Mathematůal Statistics. (Princeton U.P.)
Weatherburn, C.
E. —A
First Course in Mathematical Statistics. (C.U.P.) Fisher, R. A.—Statistical Methods for Research Workers. (Oliver & Boyd.) Fisher, R. A.—The Design. of Experiments. (Oliver & Boyd.)Arley, N., and Buch, K. R. Introduction to the Theory of Probability and Statistics. (Wiley.)
Neyman, J.—A First Course in Probability and Statistics. (Holt.)
Johnson, N. L., and Tetley, H.—Statistics: An Intermediate Text-book, Vols.
I, II. (C.U.P.)
Feller, W. An Introduction to Probability Theory and its Applications, Vol.
I. (Wiley.)
Fisher, R. A., and Yates, F.—Statistical Tables. (Oliver & Boyd.)
Pearson, E. S., and Hartley, H. O. Biometrika Tables for Statisticians, Vol.
I. (C.U.P.)
Cramér, H.—The Elements of Probability Theory and Some of its Applications.
(Wiley.)
Dixon, W. J., and Massey, F. J. Introduction to Statistical Analysis. (2nd ed., McGraw-Hill.)
EXAMINATION. Two 3-hour papers and a practical test. Before admission to the examination, candidates must have satisfactorily completed the practical work.
(b) PSYCHOLOGY PSYCHOLOGY PART I
(General Introductory Course)
A course of two lectures with one tutorial class and one laboratory period of two hours per week throughout the year. No extra classes will be held for Honour candidates. No correspondence courses are given.
SYLLАВus. The course is designed to be a general introduction to psychology, with particular emphasis on method. Origin and development of behavioural patterns, motivation, emotion, perception, learning. The nature and development of personality. Elements of measurement in psychology. Individual differences.
&ooms. (a) Recommended for preliminary reading:
Cattell, R. B.—Your Mind and Mioe. (Harrap, 1934.)
Collins, M., and Dreyer, J. Psychology and Practical Life. (Univ. of Lind.
Press, 1946.)
Harrower, M. R.—The Psychologist at Work. (Kegan Paul.) Johns, R. L.—Psychology in Everyday Living. (Harper, 1950.)
(b) Prescribed text-books :
*Dreyer,
J.—A
Dictionary of Psychology.' (Penguin, 1952.)*Morgan, C. T. Introduction to Psychology. (McGraw-Hill, 1956.) or *Munn, N. L.—Psychology. (2nd ed., Houghton-Mifflin, 1951.)
or *Woodworth. R. S., and Marquis, D. G. Psychology. (20th ed., Methuen, 1949.)
*Townsend, J. C.—Introduction to Experimental Method. (McGraw-Hill, 1953.)
*Department of Psychology-Psychometrics—Psychology Part I. (M.U.P., 1957.)
Walker, H. M. Elementary Statistical Methods. (Holt, 1943.)
(c) Recommended for reference:
•Anastasi, A., and Foley, J. P.—Differential Psychology. (Rev.
ed.,
Mac-millan, 1949.)
Boring, E. G., Langfeld, H. S., and Weld, H. P. Foundations of Psychology.
(Wiley, 1948.)
Brown, E. G., and Ghiselli, E. E.—Scientific Method in Psychology. (McGraw- Hill, 1955.)
Crafts, L. W, Schneirla, T. C., Robinson, E. E., and Gilbert, R. W.—Recent Experiments in Psychology. (2nd ed., McGraw-Hill, 1950.) • Crow, L. D., and Crow, A.—Readings in General . Psychology. (Barnes and
Noble.)
Dennis, W.—Readings in General Psychology. (Prentice-Hall, 1949.) Dennis, W.—Readings in the History of Psychology. (Appleton-Century-
Crofts, 1950.)
Eysenck, H. J.
—
Uses and Abuses of Psychology. (Pelican, 1953.)Garrett, H. E.—Great Experiments in Psychology. (3rd ed., Appleton- Century-Crofts, 1941.)
Harriman, P. L.—Encyclopaedia of Psychology. (Citadel, 1946,)
Hartley, E. L., Birch, H. G., and Hartley, R. E.—Outside Readings in Psychology. (Crowell, 1950.)
Katz, D.—Aniinals and Men. (Pelican, 1953.)
Mead, Margaret—Coming of Age in Samoa. (Pelican, 1943 ) Mead, Margaret—Growing Up in New Guinea. (Pelican, 1942.)
Morgan, C. L., and Stellar, E.—Physiological Psychology. (2nd ed., McGraw- Hill, 1950.)
Newcomb, T. M.—Social Psychology. (Dryden, 1950.)
Sargent, S.—The Teachings of the Great Psychologists. (New Home Library, Halcyon House, 1944.)
Seidman, J. M.
—
Readings in Educational Psychology. (Houghton-Mifflin, 1955.)Shaffer, L. F., and Shoben, E. J.—The Psychology of Adjustment. (2nd ed., Houghton-Mifflin, 1956.)
Stafford-Clark, D.—Psychiatry Today. (Pelican, 1952.)
Stagner, R.—The Psychology of Personality. (Rev. ed., McGraw-Hill, 1950.) Swanson, G. E., Newcomb, T., and Hartley, E. L.—Readings in Social
Psychology. (Rev. ed., Holt, 1952.)
Valentine, W.•L., and Wickens, D. D. Experimental Foundations of General Psychology. (Appleton-Century-Crofts, 1949.)
Yellowlees, H.—To Define True Madness. (Pelican, 1955.)
Books recommended for additional reading and reference are listed in the General Manual of the Department of Psychology.
ЕхАМптлпох. Two 3-hour papers. Candidaies must submit satisfactory laboratory notebooks. Honour candidates will be required to show in both laboratory notebooks and examinat:on papers a wider and more detailed know- ledge than Pass candidates.