#

# Punjab University BA Syllabus

##

## Paper Statistics 200 Marks- Syllabus, Page -2

**PAPER – B**

Candidates are required to attempt at least two questions from each section

**Section – I**

__SAMPLING AND SAMPLING DISTRIBUTION (Weight 2/10)__

Sampling designs of Simple random, Stratified, Systematic and Cluster sampling. Judgment and Quota sampling. Random Numbers and their uses in sampling. Advantages of sampling.

Probability and non-probability sampling, sampling and non-sampling errors, calculation of sample of mean, proportion and variance of simple random samples and stratified random samples. Sampling distributions of a statistic and its standard error. Distribution of sample mean, sample proportion, difference between two proportions and means. Central limit theorem with illustration (proof not required).

__STATISTICAL INFERENCE (Weight 2/10)__

Nature of statistical inference, point and interval estimation of parameter, properties of point estimator, confidence interval and its interpretation. Null and alternative hypothesis, simple and composite hypothesis. Type I and Type II errors. Level of significance. P-value and power of test (only concept and definition). Acceptance and rejection regions, one sided and two sided tests for paired and un paired observations. Inference about proportion and difference between two proportions. Determination of sample size. (Application of Normal distribution and t-distribution)

__INFERENCE ABOUT VARIANCE__

Introduction and application of chi-square distribution: Interval estimation and test of hypothesis about population variance (interval estimation for variance-single sample)

Introduction and application of F-distribution: Test of Hypothesis for equality of two variances.

###

**Section – II**

__ANALYSIS OF COUNT DATA (Weight 1/10)__

Chi-square test of independence, CI Chi-square test of goodness of fit, Chi-square test of homogeneity.

__REGRESSION AND CORRELATION ANALYSIS__

Multiple Linear regression with two regressors, Coefficient of multiple determination, Partial and multiple correlation up to three variables. Inference of simple correlation and regression, partial and multiple correlation. Interval estimates and tests of hypothesis about parameters, mean prediction and individual prediction.

__ANALYSIS OF VARIANCE AND BASIC EXPERIMENTAL DESIGNS__

Analysis of variance for one-way classification. Multiple comparison test, least significant difference and Dunceans multiple range test. Basic principles of experimental design. Complete randomized, randomized complete Block and Latin Square Designs. Descriptions, Layout, Statistical analysis, advantages and limitations of these designs. Application of these designs (Analysis of all these designs for single Observation in each Cell).

**PAPER – C (Practical)**

Candidates are required to attempt one question from each section

**Section – I**

One question from each section of Paper A should be set.

**Section – II **

One question from each section Paper B should be set.

Each Question of 18 marks i.e. 18 – 18 36 Marks

Practical Note Book 05 Marks

Viva Voce 09 Marks

Total: 50 Marks