Chi-Squared Test of Goodness of Fit
What is the counted data condition?
The data must be counted for categories of a single categorical variable
What is the purpose of a Chi-Squared Test for Homogeneity?
compare how similar two different distributions are to one another
What is the difference between the Chi-Squared Test for independence?
now we have a single population and want to know if two variables relating to that population are independent of each other
If we want to generalize our results from the sample to a larger population, we can?
Test hypotheses about the slope and y-intercept of the regression line
What is a chi-square model?
Chi-square models are a family of sampling distributions like t distributions
What is the conclusion statement?
If the distribution of _ were as they have been historically, then the observed distribution or more would occur less than _% of the time by chance. Reject/fail to reject the null at a significance level of _%. There is/isn’t statistical evidence the distribution of _ does not match the historical distribution.
You can never prove the null hypothesis, only....
fail to reject
The chi-squared Test for Independence has the same mechanics as which other test?
test for homogeneity
What is the Quantitative Data Condition?
The data must be quantitative and bi-variate
What is the equal variance assumption?
The residual scatterplot should not have a fan shape and the residual histogram should be approximately normal.
What is the degree of freedom?
N-1
How would you check the assumption that the expected frequency in each cell is at least 5?
Determine the row and column totals for your table
What are the conditions or assumptions that must be satisfied to validly perform a Chi-Squared Test for Independence?
Random Sampling, Independence, Expected Cell Count, and Categorical Data conditions
What is the standard error formula?
s/sx square root n-1
What are the number of sides the tests have?
One-sided
What is the expected cell frequency condition?
We should expect to see at least 5 people in each cell.
Why don't we check for independence?
because we are not usually trying to generalize to a larger population
What is the formula for degrees of freedom in a Chi-Squared Test for Independence?
((R-1)(C-1)) R=Number of Rows C=Number of Columns
What is the confidence interval equation?
b1 ± t*n-2 x SE(b1)
What is a chi-square rule?
The larger the residual the larger the chi-squared statistic
What is the alternate hypothesis?
The distribution of (blank) were not as they have been historically.
What is the correct chi-square model for the df?
((R-1)(C-1)) R=Number of Rows C=Number of Columns
What are the expected counts?
the projected frequencies in each cell if the null hypothesis is true
What is the null hypothesis?
The slope is zero
What is the residual equation?
c= (Observed -Expected) / Root Expected