Department

Sociology

Course Code

SOC202H1

Professor

Brent Berry

Chapter 13

Present data in a cross-tabulation table (it compares two nominal ordinal variables at

ounce essential for testing a hypothesis about the relationship between these two

variables

The # in a cell represents the frequency of joint occurrences of the categories of the 2

variables

Joint occurrence is the combination of categories for a single individual

Colum% : is a cell’s frequency as a % or the marginal total/ Row %: is a cell’s frequency

as the row marginal total

The existence of a relationship between two nominal ordinal variables is established

with a hypothesis test called the “chi-square test”

In a cross tab table we put the independent variable in the columns and the dependent

variable in the rows

The hypothesis is stated in a way that allows us to know what sampling outcomes to

expect when hypothesise is true. With a chi-square test the hypo is stated as one of no

relationship Ho:x2 =0 or Ha:x2>0

Assuming no relationship we can use the marginal frequency to predict the expected f of

each cell

We compare the expected f to the observed f of each cell, and if about equal we allow

hypothesis of no relationship/ but if a large difference between expected and observed

then we expect a relationship between the variables

The chi-square test tells is of the difference are so great that they are not simply the

result of sampling error

Expected cell frequency: tell us how many cases should fall in a cell if each cell is

proportional to the marginal frequency

E cell= (column marginal total for a cell) (row marginal total for cell)/ grand total

The effect of the test is the difference between what is observed in the actual sample

data and what is hypothesise for the Ho

Text statistic x2= sum (o-e)2/ e 9it measure the like hood of differences between

observed and expected cell frequencies

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