Statistics
Types of Statistics
Numerical statistics
Pictorial Statistics
Method of Statistical INference
Steps in the process
Making Predictions
Comparing Results
Probability
common Statistics Mistakes
Graphic Displays
Bar Chart
Dot Plot
Pie Chart
Ogive
Frequency Histogram
Relative Frequency Histogram
Frequency Polygon
Frequency Distribution
Stem-and-leaf
Box Plot (Box-and-Whiskers0
Scatter Plot
Numerical Measures
Measures of Central Tendency
Mean
Median
Mode
Notation and Formulae
Mean for grouped data
Median for qrouped data
Symetric distribution
Skewed curves
Measures of Variability
Range
Deviation and Variance
Standard deviation
Notation
Empirical rule: The normal curve
Shortcut Formulae
Percentile
Quartiles and interqurtile range
Measurement scales
Probability
Classic Theory
Relative Frequency Theory
Probability of Simple Events
Independent Events
Dependent Events
Probability of Joint Occurrences
Multiplication rule
Addition rule
Non-Mutually Exclusive Outcomes
Double Counting
Conditional Probability
Probability
Probability Distributions
Discrete vs continuous variables
Total of probabilities of discrete variables
The Binomial
Binomial Experiments
Binomial table
Mean and standard deviation
Sampling
Populations, Samples, Parameters and Statistics
Sampling Distributions
Random and Systematic Error
Central Limit Theorem
Properties of the Normal Curve
Normal Approsimation to the Binomial
Principals of Testing
Stating Hypothesis
The Test Statistic
One-and Two-tailed Tests
Type 1 and II Errors
Significance
Point Estimates and Confindence Intervals
Estimating a Difference Score
Univariate Tests: An Overview
Univariate Inferential Tests
Confidence interval for populaion mean using z
Choosing a sample size
One sample t-test
Confidence interval for population mean using t
Two-sample z-test for Comparing Two Means
One-sample z-testTwo-sample t-test for Comparing Two Means
Confidence interval for comparing two means
Pooled variance method
Paired Difference t-test
Test for a Single Population Proportion
Confidence interval for a single population proportion
Choosing a sample size
Test for Comparing Two Proportions
Confidence interval for comparing two proportions
Bivariate Relationships
Correlation
Finding the significance of r
The coefficient of determination
Simple Linear Regression
Confidence interval for the slope
Confidence interval for prediction
Assumptions and cautions
Chi-Square (X to the power 2)
Confidence interval
