BRAINY TUTOR

Applied Science and Math Tutoring

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

Leave a Reply