Topic outline

  • General

  • CHAPTER 1: INTRODUCTION TO STATISTICS

    1.1   Statistical Terminologies

    1.2   Statistical Problem Solving Methodology

    1.3   Review on Descriptive Statistics

      1.3.1 Measures of Central Tendency
      1.3.2 Measures of Variation
               1.3.2.1 Accuracy and Precision 

             1.3.3 Measures of Position

    1.4   Exploratory Data Analysis
            1.4.1 Stem and Leaf Plot
            1.4.2 Outliers
            1.4.3 Box Plot

    1.5  Normal Probability Plot


  • CHAPTER 2: SAMPLING DISTRIBUTION AND CONFIDENCE INTERVAL

    2.1   Sampling Distributions

    2.2   Estimate, Estimation, Estimator

    2.3   Confidence Interval for the Population Mean

    2.4   Confidence Interval for the Difference between Two Population Means

    2.5   Confidence Intervals with Paired Data

    2.6   Confidence Interval for the Population Proportion

    2.7   Confidence Interval for the Difference between Two Population Proportion

    2.8   Confidence Interval for Population Variance and Population Standard Deviation

    2.9   Confidence Interval on the ratio of Two Population Variances and Standard Deviations


  • CHAPTER 3: HYPOTHESIS TESTING

    3.1   Introduction to Hypothesis Testing

            3.1.1 Terms and Definitions

            3.1.2 Procedure of Hypothesis Testing

    3.2   Test Hypothesis for Population Mean with known and unknown Population Variance

    3.3   Test Hypothesis for the Difference Population Means with known and   unknown Population Variance

    3.4   Test Hypotheses for Paired Data

    3.5   Test Hypotheses for Population Proportion

    3.6   Test Hypotheses for the Difference between Two Population  Proportions

    3.7   Test Hypotheses for Population Variance

    3.8   Test Hypotheses for the Ratio of Two Population Variances

    3.9   P-Values in Hypothesis Test

    3.10  Relationship between Hypothesis Tests and Confidence Interval


  • CHAPTER 4: ANALYSIS OF VARIANCE

    4.1   Introduction to ANOVA

    4.2   One-Way ANOVA 

    4.3   Two-Way ANOVA

  • CHAPTER 5: LINEAR REGRESSION AND CORRELATION

    5.1   Correlation
             5.1.1 Scatter Plot
             5.1.2 Pearson Product- Moment Correlation

    5.2   Coefficient of Determination

    5.3   Simple Linear Regression

            5.3.1 Estimation of the Model Parameters and Value Prediction

    5.4   Hypothesis Testing for Simple Regression Model

            5.4.1 Hypothesis Testing for Intercept

            5.4.2 Hypothesis Testing for Slope

            5.4.3 Hypothesis Testing for Slope using ANOVA

    5.5   Multiple Linear Regression Analysis and Correlation

           5.5.1 Multiple Linear Regression Equation

           5.5.2 Computing the Multiple Linear regression model

           5.5.3 Interpretations of Regression Statistical Output

    5.6   Model Selection


  • CHAPTER 6: GOODNESS OF FIT TEST AND CONTINGENCY TABLE

    6.1   Goodness of Fit

            6.1.1 Goodness of Fit Test for Categorical Data

            6.1.2 Fitting of the Distribution
    6.2   Contingency Table

            6.2.1 Test for Two Variable for Independence

            6.2.2 Test of Homogeneity Proportions