Topics in Math 220               11/30/00

  1. Descriptive statistics

a)       Mean, median, mode, percentiles, range, variance, standard deviation, Interquartile range,

b)      Stem and leaf,  (modified) box plot

c)      Frequency and relative frequency Histograms 

 

  1. Bivariate data

a)      Categorical data tables (counts, percents, probabilities)

b)      Scatter diagram

c)      Correlation Coefficient

d)      Estimation of the slope and intercept for a simple linear regression model

 

 

  1. Data Collection: Sample Surveys and Experimental Design

 

  1. Probability

a)      An introduction - short

b)      Random Variables - mean and variance

c)      Determine Binomial probabilities

 

  1. Normal Distribution

a)      Model for a continuous random variable

b)      General features and properties

c)      Standard Normal - use of table

d)      Probability calculations (standardizing)

 

  1. Sampling Distribution

a)      Distribution of the sample mean

b)      Central Limit Theorem

 

  1. Inferences about one mean (Large sample and small sample), one proportion and two means (independent samples and matched pair comparisons).

a)      Point estimate

b)      Interval estimate

c)      Hypothesis testing - P value method

 

  1. Analyzing Count Data

a)      Test for Homogeneous populations

b)      Test for Independence


         Minimum  SPSS Topics in Math 220      

 

  1. Descriptive statistics

a)      Name variable, variable type, labels, measurement type, variable width, and decimal places.

b)      Explore (standard statistics), Outliers, Percentiles,

c)      Graphs - stem and leaf, box plot, histogram

d)      Construction of tables - one and two way  crosstabs

 

  1. Confidence Intervals and Hypothesis tests for Means

a)      One mean - single sample t test

b)      Paired sample t test

c)      Independent samples t test

 

  1. Bivariate Data

a)      Scatter Plot - simple

b)      Plot least square regression line on the scatter plot

c)      Determine coefficients for least square linear model

d)      Determine correlation coefficient

 

  1. Crosstabs

a)      Chi-Square test for independence

b)      Chi-Square test for Homogeneous