Weighted summary statistics

Summary statistics can be weighted by selecting a column in the dataset in the Main Mappings panel to provide weights. If a weight is non-numeric or missing, the observation is excluded from the analysis. Weighted descriptive statistics output also includes a text file called Settings that contains user-specified settings. Some summary statistics and all percentiles are excluded from weighted output.

The output for weighted summary statistics contains a column indicating the summary variable(s), one for each sort variable, and the statistics listed below.

CI X% Lower: Lower limit of an X% confidence interval for the weighted data:

Weighted Mean – ta/2 x Weighted SD 

CI X% Lower Mean: Lower limit of an X% confidence interval for the weighted mean.

CI X% Lower Var: Lower limit of an X% confidence interval for the weighted variance.

CI X% Upper: Upper limit of an X% confidence interval for the weighted data:

Weighted Mean + ta/2 x Weighted SD 

CI X% Upper Mean: Upper limit of an X% confidence interval for the weighted mean.

CI X% Upper Var: Upper limit of an X% confidence interval for the weighted variance.

CV%: Weighted coefficient of variation:

(Weighted SD/Weighted Mean)*100

Kurtosis Pop: Weighted coefficient of excess (population excess kurtosis):

Phoenix_UserDocs_Descriptive_Statistics_image598

Lower XSD and Upper XSD: Range determined by adding or subtracting X weighted standard deviations from the weighted mean:

Weighted Mean +/– X*Weighted SD 

Max: Maximum value

Mean: Weighted arithmetic average:

Phoenix_UserDocs_Descriptive_Statistics_image600

Min: Minimum value

N: Number of non-missing observations (including those with weights = zero)

NMiss: Number of observations with missing data

NObs: Number of observations (including observations with weights = zero)

Range: Range of values (maximum value minus minimum value)

SD: Weighted standard deviation:

Phoenix_UserDocs_Descriptive_Statistics_image602

SE: Weighted standard error:

Phoenix_UserDocs_Descriptive_Statistics_image604

Skewness Pop: Weighted coefficient of skewness (population skewness):

Phoenix_UserDocs_Descriptive_Statistics_image606

Sum: Weighted Sum:

Phoenix_UserDocs_Descriptive_Statistics_image608

Variance: Weighted variance:

Phoenix_UserDocs_Descriptive_Statistics_image610

where Phoenix_UserDocs_Descriptive_Statistics_image612 is the weighted mean.


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