Syllabus

Course Code: ST-105    Course Name: Practical (Calculator and SPSS/R based)

MODULE NO / UNIT COURSE SYLLABUS CONTENTS OF MODULE NOTES
1 Note: There will be 4 questions, the candidate will be required to attempt any 3 questions.
List of Practicals:
1. Testes of significance based on t-distribution.
(i) Testing the significance of the mean of a random sample from a normal population.
(ii) Testing the significance of difference between two sample means,
(iii) Testing the significance of an observed correlation coefficient.
(iv) Testing the significance of an observed partial correlation coefficient.
(v) Testing the significance of an observed regression coefficient.
2 2. Tests based on F-distribution.
(i) Testing the significance of the ratio of two independent population variances.
(ii) Testing the homogeneity of means (Analysis of variance).
3 3. Testing the significance of the difference between two independent correlation coefficients.
4 4. Testing the significance for
(i) A single proportion
(ii) Difference of proportions for large samples.
5 5. Testing the significance of the difference between means of two large samples.
6 6. Testing the significance of difference between standard deviations of two large samples.
7 7. Fitting of the
(i) Binomial distribution
(ii) Poisson
(iii) Normal distribution and their test of goodness of fit using χ2 test.
8 8. Correlation and regression
(i) Pearson’s coefficient of correlation
(ii) Spearman’s rank correlation coefficient (with ties and without ties).
(iii) Fitting of the lines of regression.
9 9. Multiple and partial correlations
(i) Multiple correlation coefficients
(ii) Partial correlation coefficients
(iii) Fitting of regression plane for three variates
10 10. Time series and SQC
a. To obtain trends by using
(i) Method of Semi-Averages
(ii) Method of curve fitting
(iii) Method of moving average.
(iv) Spencer’s 15 - point and 21 point -formulas.

b. To obtain seasonal variation indices by using
(i) Ratio to trend method.
(ii) Ratio to moving average method.
(iii) Link relative method.

c. To construct
(i) X and R–chart
(ii) p–chart
(iii) c–chart and u-chart
and comment on the State of Control of the process.
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