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12th Statistics - TamilNadu State Board (English Medium)

12th Statistics - TamilNadu State Board (English Medium)



Statistics 12th Std - 12th Statistics




Chapter 1: Tests of Significance - Basic Concepts and Large Sample Tests


1. Introduction - Tests of Significance - Basic Concepts and Large Sample Tests
2. Parameter and Statistic
3. Sampling Distribution - Statistics
4. Standard Error - Definition, Example Solved Problems | Statistics
5. Null Hypothesis and Alternative Hypothesis - Statistics
6. Errors in Statistical Hypotheses Testing - Definition, Example Solved Problems | Statistics
7. Level of Significance, Critical Region and Critical Value(S) - Definition, Example Solved Problems | Statistics
8. One-Tailed and Two-Tailed Tests - Definition, Example Solved Problems | Statistics
9. General Procedure for Test of Hypotheses - Statistics
10. Test of Hypotheses for Population Mean (Population Variance Is Known) - Procedure Steps, Example Solved Problems | Statistics
11. Test of Hypotheses for Population Mean (Population Variance is Unknown) - Procedure Steps, Example Solved Problems | Statistics
12. Test of Hypotheses for Equality of Means of two Populations (Population Variances are Known) - Procedure Steps, Example Solved Problems | Statistics
13. Test of Hypotheses For Equality of Means of Two Populations (Population Variances are Unknown) - Procedure Steps, Example Solved Problems | Statistics
14. Test of Hypotheses for Population Proportion - Procedure Steps, Example Solved Problems | Statistics
15. Test of Hypotheses for Equality of Proportions of two Populations - Procedure Steps, Example Solved Problems | Statistics



Chapter 2: Tests Based on Sampling Distributions I


1. Introduction - Tests Based on Sampling Distributions I
2. Student�s t Distribution and Its Applications - Properties, Procedure Steps, Example Solved Problems | Statistics
3. Chi-Square Distribution and Its Applications - Properties, Procedure Steps, Example Solved Problems | Statistics



Chapter 3: Tests Based on Sampling Distributions II


1. Introduction - Tests Based on Sampling Distributions II
2. F -Distribution and Its Applications - Properties, Definition | Statistics
3. Test of Significance for Two Normal Population Variances - Procedure Steps, Example Solved Problems | Statistics
4. Analysis of Variance (Anova)
5. One-way ANOVA - Test Procedure, Merits and Demerits, Example Solved Problems | Analysis of Variance | Statistics
6. Two Way ANOVA - Test Procedure, Merits and Demerits, Example Solved Problems | Analysis of Variance | Statistics



Chapter 4: Correlation Analysis


1. Introduction - Correlation Analysis
2. Definition of Correlation
3. Types of Correlation
4. Methods to find correlation
5. Scatter Diagram - Merits and Demerits | Correlation Analysis
6. Karl Pearson�s Correlation Coefficient - Properties, Limitations, Example Solved Problems
7. Spearman�s Rank Correlation Coefficient - Repeated ranks, Example Solved Problems
8. Yule�s Coefficient of Association



Chapter 5: Regression Analysis


1. Introduction - Regression Analysis
2. Definition and Types of Regression
3. Uses of Regression
4. Why are There Two Regression Lines?
5. Method of Least Squares - Example Solved Problems | Regression Analysis
6. Properties of Regression Coefficients
7. Difference Between Correlation and Regression



Chapter 6: Index Numbers


1. Introduction - Index Numbers
2. Definition and Uses of Index Numbers
3. Types of Index Numbers
4. Methods of Constructing Index Numbers
5. Unweighted Index Numbers
6. Weighted Index Numbers
7. Consumer Price Index Numbers - Methods of constructing, Example Solved Problems



Chapter 7: Time Series and Forecasting


1. Introduction - Time Series and Forecasting
2. Definition and Uses of Time?Series
3. Components of Time Series
4. Measurements of Components - Time Series and Forecasting
5. Methods of Measuring Secular Trend - Merits, Demerits, Example Solved Problems
6. Methods of constructing seasonal indices - Example Solved Problems
7. Forecasting - Definition | Statistics



Chapter 8: Vital Statistics and Official Statistics


1. Introduction - Vital Statistics and Official Statistics
2. Vital Statistics - Introduction, definitions
3. Importance of Vital Statistics
4. Collection of Vital Statistics
5. Mortality and Its Measurements - Vital Statistics
6. Life Table and Its Applications - Vital Statistics
7. Fertility and its Measurements - Vital Statistics
8. Measurement of Population Growth - Vital Statistics
9. Official Statistics



Chapter 9: Project Work


1. Project Work - Introduction, Characteristics, Advantages | Statistics
2. Designing a Project - Project Work | Statistics
3. Project Work Plan - Statistics
4. Questionnaire Development Process - Project Work | Statistics
5. Features of a Project Report - Project Work | Statistics




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