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 |