What are Basic Statistics?

• Descriptive statistics
  • "True" Mean and Confidence Interval
  • Shape of the Distribution, Normality
• Correlations
  • Purpose (What is Correlation?)
  • Simple Linear Correlation (Pearson r)
  • How to Interpret the Values of Correlations
  • Significance of Correlations
  • Outliers
  • Quantitative Approach to Outliers
  • Correlations in Non-homogeneous Groups
  • Nonlinear Relations between Variables
  • Measuring Nonlinear Relations
  • Exploratory Examination of Correlation Matrices
  • Casewise vs. Pairwise Deletion of Missing Data
  • How to Identify Biases Caused by the Bias due to Pairwise Deletion of Missing Data
  • Pairwise Deletion of Missing Data vs. Mean Substitution
  • Spurious Correlations
  • Are correlation coefficients "additive?"
  • How to Determine Whether Two Correlation Coefficients are Significant
• t-test for independent samples
  • Purpose, Assumptions
  • Arrangement of Data
  • t-test graphs
  • More Complex Group Comparisons
• t-test for dependent samples
  • Within-group Variation
  • Purpose
  • Assumptions
  • Arrangement of Data
  • Matrices of t-tests
  • More Complex Group Comparisons
• Breakdown: Descriptive statistics by groups
  • Purpose
  • Arrangement of Data
  • Statistical Tests in Breakdowns
  • Other Related Data Analysis Techniques
  • Post-Hoc Comparisons of Means
  • Breakdowns vs. Discriminant Function Analysis
  • Breakdowns vs. Frequency Tables
  • Graphical breakdowns
• Frequency tables
  • Purpose
  • Applications
• Crosstabulation and stub-and-banner tables
  • Purpose and Arrangement of Table
  • 2x2 Table
  • Marginal Frequencies
  • Column, Row, and Total Percentages
  • Graphical Representations of Crosstabulations
  • Stub-and-Banner Tables
  • Interpreting the Banner Table
  • Multi-way Tables with Control Variables
  • Graphical Representations of Multi-way Tables
  • Statistics in crosstabulation tables
  • Multiple responses/dichotomies