# freemanTheta

0th

Percentile

##### Freeman's theta

Calculates Freeman's theta for a table with one ordinal variable and one nominal variable.

##### Usage
freemanTheta(x, g = NULL, group = "row", verbose = FALSE,
progress = FALSE, digits = 3)
##### Arguments
x

Either a two-way table or a two-way matrix. Can also be a vector of observations of an ordinal variable.

g

If x is a vector, g is the vector of observations for the grouping, nominal variable.

group

If x is a table or matrix, group indicates whether the "row" or the "column" variable is the nominal, grouping variable.

verbose

If TRUE, prints statistics for each comparison.

progress

If TRUE, prints a message as each comparison is conducted.

digits

The number of significant digits in the output.

##### Details

Freeman's coefficent of differentiation (theta) is used as a measure of association for a two-way table with one ordinal and one nominal variable. See Freeman (1965).

##### Value

A single statistic, Freeman's theta

##### References

Freeman, L.C. 1965. Elementary Applied Statistics for Students in Behavioral Science. Wiley.

http://rcompanion.org/handbook/H_11.html

• freemanTheta
##### Examples
# NOT RUN {
data(Breakfast)
library(coin)
chisq_test(Breakfast, scores = list("Breakfast" = c(-2, -1, 0, 1, 2)))
freemanTheta(Breakfast)

### Example from Freeman (1965), Table 10.6
Input =(
"Social.adjustment  5  4  3  2  1
Marital.status
Single              1  2  5  2  0
Married            10  5  5  0  0
Widowed             0  0  2  2  1
Divorced            0  0  0  2  3
")
freemanTheta(x = PoohPiglet$Likert, g = PoohPiglet$Speaker)