Mod. 12, Chi-Square/

Question 1

reason for Using Chi-Square Tests

Answer 1

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Statistical test used when data are CATEGORICAL
Discrete, no in between values or averages possible
Used to test whether frequency distribution fits an expected distribution that is predicted by theory when observations are sorted on one dimension

Question 2

Goodness of Fit Chi Square Tests/assumptions

Answer 2

ONE VARIABLE
Observed frequencies were obtained by random sampling
Expected frequency: MUST BE MORE THAN 5, NEED TO COLLECT ENOUGH PEOPLE FOR THE EXPECTED FREQUENCY

Question 3

Tests of Independence

Answer 3

Used to test the independence of two variables; TWO VARIABLES
By determining whether the occurrence of one variable affects the probability of the occurrence of the other variable
Adding another variable

Question 4

Chi Square Distribution Properties

Answer 4

Family of probability distributions
Shape depends on df
X axis: represents the values of the chi square
Y axis: presents the probability of these values
SMALLER DF: SEVERE RIGHT SKEWED
DF INCREASES: APPROACHES NORMAL
DF is directly related to the number of categories of the variable/variables

Question 5

Contingency Table:

Answer 5

shows the observed frequencies for two variables

Question 6

Conditions for Chi square test of independence

Answer 6

CONDITIONS: frequencies must be obtained randomly, each frequency must be greater than or equal tp 5
GOODNESS OF FIT TEST: ONE VARIABLE
SQUARE TEST OF INDEPENDENCE: TWO VARIABLES