What expected frequencies should I use?

#1
Hello,

I'm in the middle of my dissertation and are struggling a little with finding the appropriate expected frequencies in a few Chi-Square tests of single variables.

Example:

My hypothesis is that recruiters are moderately to strongly impressed by XYZ.

The null hypothesis is basically that they are not impressed or less than moderately impressed by XYZ

I have data from a Likert scale (7-scale) question, which I chose to be ordinal. 1 signified "Not impressed at all", 4 "Moderately Impressed" and 7 "Very impressed".

Considering the null hypothesis, what would be the best approach for choosing the expected frequencies? Should I just split N among the first three cells (1-3) of the Likert scale and give the rest a frequency of 5 (so that I can actually do the Chi-Square test)?

I don't think that in this case, an equally split frequency among all 7 cells makes sense.

Any help is highly appreciated.

Thanks!
 

Karabiner

TS Contributor
#2
Considering the null hypothesis,
You have not yet formulated a null hypothesis. A null hypothesis (the hypothesis
to be nullified) is a precise statement, e.g. "the median level of impressiveness
is < 4 [in the population]", or "> 30% of recruiters are less than moderatly
impressed". You can then use an appropriate one-sample test (maybe Wilcoxon
signed rank test in the first example, one-sample Chi² in the second).

By the way, for Chi² not the ACTUAL cell frequencies, but the EXPECTED cell
frequencies have to be >= 5.

With kind regards

K.