BACS Norm Calculator

Raw scores → demographic correction → z, T, standard score, percentile and descriptive band

Norm set extracted from supplied BACS workbook
Step 1

Demographics and scoring method

Default: full Age + Sex + Education correction
Norm sample range: 14–55
Workbook coding: Male 0, Female 1
Years of education; norm sample range: 3–18
Matches the workbook correction options
Step 2

Enter BACS raw scores

Total semantic fluency is calculated automatically
The workbook contains separate composite norms for each option.
Composite result

Demographically corrected BACS Composite

Corrected z—
T score—
Standard score—
Percentile rank—
Subtest results

Raw and demographically corrected scores

SubtestRawNorm meanNorm SDRaw zPredictedCorrected zTStandard scorePercentileDescription
Method

Calculation details

Uncorrected z: (raw score − normative mean) / normative SD
Predicted score: intercept + β(age) + β(sex) + β(education), using only variables in the selected correction method.
Prediction error SD: SEE × √[1 + (1 + q) / n], where q is the demographic leverage term based on standardised predictors and the relevant inverse correlation matrix.
Corrected z: (raw score − predicted score) / prediction error SD.
Composite: the six uncorrected domain z scores are combined using the selected semantic-fluency variant, standardised with the workbook composite SD, then demographically corrected using the workbook composite regression.
The calculator reproduces the regression coefficients, demographic descriptive statistics, standard errors of estimate, inverse correlation matrices, raw-score norms and composite norms embedded in the supplied BACS sample workbook. Descriptive labels are assigned from the supplied Psychometric Conversion Table using the nearest integer Standard Score (SS = 100 + 15z). Values outside the table range are capped only for description/percentile lookup, not for the displayed z score.
BACS Norm Calculator · Source reconstruction validated against the supplied Pt X example