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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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