Tony's Research, version 2.0: Table of Content

Statistics Home: Tony's Research version 2.0
                  Introduction:
                   Introduction - Online Textbook - Streamed Lectures - Statistical Software Tutorial -
                   Interactive Workshops   - Table of Content  - Sampling Theory

Chapter 1: Scales of Measurement
                  Introduction  - Variables - Scales of Measurements - Summation Notation
Chapter 2: Central  Tendency (mean, median, mode) - Frequency Distribution (frequency and cumulative
                 distributions) - percentile - median from frequency distribution - mean from frequency distribution -
                 Stem and Leaf Display
Chapter 3: Variability: range - semi-Interquartile range - deviation - sum of square deviation - variance -
                 standard deviation - standard deviation from frequency distribution - factors affecting variance
                 and the standard deviation  - Boxplot - Outlier            
Chapter 4: Normal Distribution: Standard Scores: z-score - the standardized distribution - SPSS z-score procedure                  Stats4U z-score procedure - other standard scores - Normal Curve: - standard normal distribution -
                 probability and the normal distribution - the standard normal distribution - percent rank - percentile
Chapter 5: Correlation: Overview - Pearson correlation coefficient (product-moment correlation) - covariance -
                 computing Pearson r - significance of r - factors affecting correlation - Spearman rank correlation -
                 coefficient of determination
Chapter 6: Introduction to Hypothesis Testing: acceptance criterion - level of significance - one- and totaled
                 tests - type I and type II errors - effect size - steps in hypothesis testing - hypothesis testing worksheet -
                 the null hypothesis and other hypotheses - One-Sample Mean (sigma known) - sampling distribution -
                 standard error - p-value - One-Sample Mean (sigma unknown) - t-distribution - degree of freedom -
                 hypothesis testing: one-sample case for the mean  
Chapter 7: One-Sample Correlation Testing (rho = 0): correlation critical value approach - t distribution critical
                 value approach - p value approach - Fisher's Z transformation of r - confidence interval approach -
                 One-Sample Correlation Testing (rho = a): Fisher's Z transformation - critical value approach -
                 confidence interval approach
Chapter 8: Two-Sample Test for Mean: Introduction to Two-Sample Hypothesis Testing - degrees of freedom -
                 Test for homogeneity of variance - Two Independent Samples with Homogeneous Variances - effect size
                 and r square - Two Independent Samples with non-homogeneous Variances -
Reference  -  Chapter Exercises  - Answer Key  - Index
Appendices: A Statistical Tables  - B Formula Summary - C Symbols and Notations - D Dataset -
                 E APA Style: Reporting Statistical Results 


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