topic Re: What statistical test to use to examine the relationship “Earnings” vs “Gender” in SAS Programming

What statistical test to use to examine the relationship “Earnings” vs “Gender”

lolol0101 — Fri, 30 Dec 2022 02:06:56 GMT

Newbie at SAS, I did as

proc freq data=want;
tables earnings*gender / chisq;
run;

but I doubt it's right because I went to google the methods

to analyze its results?

Thank you.

Re: What statistical test to use to examine the relationship “Earnings” vs “Gender”

MarkusWeick — Fri, 30 Dec 2022 08:17:39 GMT

Hi @lolol0101,

my advise would be not to start with test but with (graphical) analysis of the data. For example the frequency distribution of earnings, one per gender. Comparing the distributions might give some ideas about a hypothesis that than can be tested.

So, do you want to show us graphs of the frequency distributions?

Best

Markus

Re: What statistical test to use to examine the relationship “Earnings” vs “Gender”

Ksharp — Fri, 30 Dec 2022 10:44:05 GMT

TTest
PROC TTEST
or
Wilcoxon test (nonparameter version of TTest )
PROC NPAR1WAY .... wilcoxon ;

Also calling @Rick_SAS @StatDave to get more statistical method.

Re: What statistical test to use to examine the relationship “Earnings” vs “Gender”

PaigeMiller — Fri, 30 Dec 2022 11:19:47 GMT

@lolol0101 wrote:

Newbie at SAS, I did as

proc freq data=want;
tables earnings*gender / chisq;
run;

but I doubt it's right because I went to google the methods

to analyze its results?

I would say use the Kruskal-Wallis test in PROC NPAR1WAY, which uses the Wilcoxon scores. Example.

This is the non-parametric equivalent of a one-way ANOVA. A chi-squared test is not really appropriate for the (almost) continuous variable earnings.

Re: What statistical test to use to examine the relationship “Earnings” vs “Gender”

lolol0101 — Sat, 31 Dec 2022 08:41:19 GMT

The gender has 3 levels so I would get the error "class variable has more than two levels"

is T-Test still appropriate to use?

Re: What statistical test to use to examine the relationship “Earnings” vs “Gender”

Ksharp — Sat, 31 Dec 2022 08:53:15 GMT

Then try ANOVA .

proc glm data=have;
class gender;
model salary=gender /solution;

lsmean gender/diff pdiff adjust=dutt;
quit;

The better way is non-parameter version of ANOVA as Paige said.
or you could try GAMMA distribution since your salary is all positive.
proc genmod data=have;
class gender;
model salary=gender/dist=gamma;
lsmean gender/diff pdiff adjust=dutt;
run;

Re: What statistical test to use to examine the relationship “Earnings” vs “Gender”

lolol0101 — Sat, 31 Dec 2022 11:24:21 GMT

Thank you! last question, what if it's "salary" vs. "age"? (both are numeric)

How does one examine this?

Re: What statistical test to use to examine the relationship “Earnings” vs “Gender”

PaigeMiller — Sat, 31 Dec 2022 11:33:44 GMT

@lolol0101 wrote:

Thank you! last question, what if it's "salary" vs. "age"? (both are numeric)

How does one examine this?

Scatterplot
Regression

Re: What statistical test to use to examine the relationship “Earnings” vs “Gender”

Ksharp — Sun, 01 Jan 2023 08:29:34 GMT

As Paige said , Regression .(if you have big data ,also could try ANOVA)
And I would recommend to use violin graph .

https://blogs.sas.com/content/graphicallyspeaking/2012/10/30/violin-plots/