topic Re: empirical frequency in Statistical Procedures

empirical frequency

ks94 — Mon, 30 Mar 2020 04:38:48 GMT

Please what's empirical frequency and how calculate it ?

thanks

Re: empirical frequency

Ksharp — Mon, 30 Mar 2020 10:24:55 GMT

Try PROC FREQ .

And calling @Rick_SAS

Re: empirical frequency

Rick_SAS — Mon, 30 Mar 2020 11:49:51 GMT

As KSharp says, the empirical frequency is what you observe. If you open a pack of Plain M&Ms, you might find

Red: 7

Orange: 8

Yellow: 7

Green: 9

Blue: 6

Brown: 7

Those numbers are the empirical frequencies for each color. These might be different than the expected frequencies. For example, in the US more blue M&M&s are produced than green, but that's not what you observed.

You can not only use PROC FREQ to tabulate the counts for each category, you can use it to test whether an observed set of frequencies is likely to be seen in a random sample from a population with known distribution. For this kind of hypothesis testing on the M&M data, see this article.

Re: empirical frequency

ks94 — Wed, 01 Apr 2020 13:05:10 GMT

what formula is used to get the above empirical frequencies , knowing that we have the following quantities of colors:

Red     108
Orange  133
Yellow  103
Green   139
Blue    133
Brown    96

Thanks

Re: empirical frequency

Rick_SAS — Wed, 01 Apr 2020 13:12:53 GMT

The empirical frequencies are the numbers next to each color: 108, 133, etc.

Perhaps you meant to say "empirical proportions"? If so, add up all the frequencies:

S = 108 + 133 + 103 + 139 + 133 + 96 = 712

and divide the empirical frequencies by the total. The empirical proportions are

108 / 712 = 0.15

133 / 712 = 0.19

...

96 / 712 = 0.13