"Magic Table"

(relationship between measures of variability)

 

Describes Population

 

"it is what it is - live with it"

 

 

Describes Sample Precision (1SE)

 

"How good" your sample is

@ 68% confidence

 

Describes Sample Precision

(xSE)

 

"How good" your sample is

@ 'any' confidence

Variance (V)

 Has no logical meaning.

Used to combine strata and get a combined SD

 

à

divide by n

 

Variance of the mean (SE2)

Has no logical meaning.

Used to combine strata and get a combined SE

 

 

 

square SD to get V

 

square SE to get SE2

 

 

Std Deviation

(SD)

 

Dispersion of individuals about the mean,

given in units

 

 This is the starting place for your calculations (from your calculator)

 

 

à

divide by Ön

(sqrt of n)

 

Std Error

(SE)

 How close the sample mean and the true mean are likely to be

 

In units @ 68% confidence

à

* t

 

Sampling Error

(E)

How close the sample mean and the true mean are likely to be

 

In units @ any confidence (e.g. 95% confidence)

¯ divide by mean

 

¯ divide by mean

 

¯ divide by mean

 

Coefficient of Variation (CV)

 

Basically SD expressed in percent

 

à

divide by Ön

(sqrt of n)

 

Std Error in Percent

(SE%)

How close the sample mean and the true mean are likely to be

 

In percent @ 68% confidence

à

* t

 

 

Sampling Error in Percent (E%)

How close the sample mean and the true mean are likely to be

 

In percent @ any confidence

(e.g. 95% confidence)