Dear aspirant

The topics which come under elementary statistics are:

1 The Nature of Probability and Statistics

1.1 Descriptive and Inferential Statistics

1.2 Variables and Types of Data

1.3 Data Collection and Sampling Techniques

1.4 Observational and Experimental Studies

1.5 Uses and Misuses of Statistics

1.6 Computers and Calculators

2 Frequency Distributions and Graphs

2.1 Organizing Data

2.2 Histograms, Frequency Polygons,and Ogives

2.3 Other Types of Graphs

3 Data Description

3.1 Measures of CentralTendency

3.2 Measures of Variation

3.3 Measures of Position

3.4 Exploratory Data Analysis

4 Probability and Counting Rules

4.1 Exploratory Data Analysis

4.2 The Addition Rules for Probability

4.3 The Multiplication Rules and Conditional Probability

4.4 Counting Rules

4.5 Probability and Counting Rules

5 Discrete Probability Distributions

5.1 Probability Distributions

5.2 Mean, Variance, Standard Deviation,and Expectation

5.3 The Binomial Distribution

5.4 Other Types of Distributions (Optional)

6 The Normal Distribution

6.1 Normal Distributions

6.2 Applications of the Normal Distribution

6.3 The Central Limit Theorem

6.4 The Normal Approximation to the Binomial Distribution

7 Confidence Intervals and Sample Size

7.1 Confidence Intervals for the Mean When s Is Known

7.2 Confidence Intervals for the Mean When s Is Unknown

7.3 Confidence Intervals and Sample Size for Proportions

7.4 Confidence Intervals for Variances and Standard Deviations

8 Hypothesis Testing

8.1 Steps in Hypothesis Testing-Traditional Method

8.2 z Test for a Mean

8.3 t Test for a Mean

8.4 z Test for a Proportion

8.5 '2 Test for a Variance or Standard Deviation

8.6 Additional Topics Regarding Hypothesis Testing

9 Testing the Difference Between Two Means, Two Variances, and Two Proportions

9.1 Testing the Difference Between Two Means: Using the z Test

9.2 Testing the Difference Between Two Means of Independent Samples: Using the t Test

9.3 Testing the Difference Between Two Means: Dependent Samples

9.4 Testing the Difference Between Proportions

9.5 Testing the Difference Between Two Variances

10 Correlation and Regression

10.1 Scatter Plots and Correlation

10.2 Regression

10.3 Coefficient of Determination and Standard Error of the Estimate

10.4 Multiple Regression (Optional)

11 Other Chi-Square Tests

11.1 Test for Goodness of Fit

11.2 Tests Using Contingency Tables

12 Analysis of Variance

12.1 One-Way Analysis of Variance

12.2 The Scheffe Test and the Tukey Test

12.3 Two-Way Analysis of Variance

13 Nonparametric Statistics

13.1 Advantages and Disadvantages of Nonparametric Methods

13.2 The Sign Test

13.3 The Wilcoxon Rank Sum Test

13.4 The Wilcoxon Signed-Rank Test

13.5 The Kruskal-Wallis Test

13.6 The Spearman Rank Correlation Coefficient and the Runs Test

14 Sampling and Simulation

14.1 Common Sampling Techniques

14.2 Surveys and Questionnaire Design

14.3 Simulation Techniques and the Monte Carlo Method

ALl the best