Introduction to Statistics
Lecture Notes
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Contents
1 Introduction
1.1 Discrete Data
1.2 Continuous Data
1.3 Histogram With Unequal Class Intervals
1.4 Data Collection
1.5 Measures Of Central Tendencies
1.6 Measure Of Dispersion
1.7 Range
1.8 Standard Deviation
1.9 Mean Deviation
1.10 Quartiles
1.11 Percentiles
1.12 Properties of \(E(X)\)
1.13 Properties of Variance
1.14 Properties of Covariance (Cov\((X,Y)\))
1.15 Moments
1.16 Practice problems
2 Estimation and Sampling Distributions
2.1 The Four Distributions You Will Need
2.2 Practice problems
3 Statistical Hypothesis Testing
3.1 The \(P\)-value
3.2 Test for the Variance and Standard Deviation
3.3 Type I and Type II Errors
3.4 Test of Independence and Goodness of Fit Test
3.5 Practice problems
4 Analysis of Variance
4.1 Contingency Table
4.2 Completely Randomised Design
4.3 Randomised Block Design
4.4 Latin Square Design
4.5 Practice problems
5 Linear Regression and Correlation Analysis
5.1 Correlation
5.2 Scatter diagram
5.3 Calculation of Correlation Coefficient
5.4 Linear Regression
5.5 Inference for the Regression Line
References
References
5.6 Practice problems
1 Introduction
1.1 Discrete Data
1.2 Continuous Data
1.3 Histogram With Unequal Class Intervals
1.4 Data Collection
1.5 Measures Of Central Tendencies
1.6 Measure Of Dispersion
1.7 Range
1.8 Standard Deviation
1.9 Mean Deviation
1.10 Quartiles
1.11 Percentiles
1.12 Properties of \(E(X)\)
1.13 Properties of Variance
1.14 Properties of Covariance (Cov\((X,Y)\))
1.15 Moments
1.16 Practice problems
2 Estimation and Sampling Distributions
2.1 The Four Distributions You Will Need
2.2 Practice problems
3 Statistical Hypothesis Testing
3.1 The \(P\)-value
3.2 Test for the Variance and Standard Deviation
3.3 Type I and Type II Errors
3.4 Test of Independence and Goodness of Fit Test
3.5 Practice problems
4 Analysis of Variance
4.1 Contingency Table
4.2 Completely Randomised Design
4.3 Randomised Block Design
4.4 Latin Square Design
4.5 Practice problems
5 Linear Regression and Correlation Analysis
5.1 Correlation
5.2 Scatter diagram
5.3 Calculation of Correlation Coefficient
5.4 Linear Regression
5.5 Inference for the Regression Line
References
References
5.6 Practice problems