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Analyze one-way and two-way classified data using analysis of variance.
THEORY (30 Hours)
UNIT I (6 Hours)
Definition, scope and limitations of statistics; presentation and summarization of statistical data;
frequency distribution and its graphical representation; measures of central tendency, dispersion,
skewness and kurtosis.
UNIT II (6 Hours)
Definition and concept of probability; additive and multiplication law of probability (without
proof).
UNIT III (6 Hours)
Correlation: Types of correlation and identification through scatter diagram, computation of
correlation coefficient. Linear Regression: Fitting of regression equations; Y on X and X on Y;
properties of correlation and regression coefficients.
UNIT IV (6 Hours)
Elements of sampling: Simple random sampling, sampling distribution, standard error; tests of
significance, large sample test - SND test for means, single sample and two samples; small sample
tests for mean: Student's t-test, Fisher‘s t-test and Paired t-test: F test.
UNIT V (6 Hours)
Analysis of variance for one-way and two-way classified data.
PRACTICAL (30 Hours)
1. Construction and graphical representation of frequency distribution.
2. Calculations of measures of central tendency, dispersion, skewness and kurtosis.
3. Correlation and regression analysis.
4. One sample and two sample standard normal deviation tests for mean.
5. Student's t-test, Fisher's t-test and paired t-test; F-test.
6. Analysis of variance – one way and two way classified data.
SUGGESTED READINGS:
1. Goon, A.M., Gupta, M.K. and Dasgupta, B. (2003). An Outline of Statistical theory, Vol. I,
4th Ed., World Press, Kolkata.
2. Hogg, R.V. and Tanis, E.A. (2009). A Brief Course in Mathematical Statistics. Pearson
Education.
3. Johnson, R.A. and Bhattacharya, G.K. (2001). Statistics-Principles and Methods, 4thEd.,
John Wiley and Sons.
4. Mood, M.A.,Graybill,F.A.and Boes,C.D.(2007). Introduction to the theory of Statistics, 3rd
Ed., (Reprint).Tata McGraw-Hill Pub. Co. Ltd.
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