# AI Calculator

Document Sample

```					                                                                                              Adverse Impact Analysis
Enter sample data for race in the white cells.
Descriptive Statistics: Race
Sample Frequencies                                                            Expected Frequencies (Based on Probability)
Row Total
Frequency                                           Percentage                                 Frequencya                                      Percentage
White                     Black                       White                Black                 White                 Black                    White                     Black                    Frequency          Percentage
Pass/Hired                                                                              -                    -                     -                     -                         -                          -                        -                   -
Fail/Not Hired                                                                          -                    -                      -                     -                        -                          -                        -                   -
Column Total                        -                         -                         -                    -                      -                     -                        -                          -                        -                   -
Pass/Hire Rate                      -                         -                                                                                                                                                                        -

Enter sample data for sex in the white cells.
Descriptive Statistics: Sex
Sample Frequencies                                                            Expected Frequencies (Based on Probability)
Row Total
Frequency                                           Percentage                                 Frequencya                                      Percentage
Male                    Female                       Male              Female                    Male                 Female                    Male                    Female                    Frequency          Percentage
Pass/Hired                                                                              -                    -                     -                      -                        -                          -                        -                   -
Fail/Not Hired                                                                          -                    -                      -                     -                        -                          -                        -                   -
Column Total                        -                         -                         -                    -                      -                     -                        -                          -                        -                   -
Pass/Hire Rate                      -                         -                                                                                                                                                                        -
a
Some statisticians (e.g., Hays, 1994; Moore & McCabe, 1993) state that the chi-square or other estimated statistical tests should be interpreted with caution if the minimum (or smallest) expected frequency is less
than 10 and that estimated statistical tests should not be used when the minimum expected frequency is less than 5. Some recommend using Fisher's exact test instead because it calculates the exact probability
of the obtained result rather than estimating it. However, Collins and Morris (2008) have shown that the chi-square test may be more appropriate than the Fisher's exact test under these circumstances.

4/5ths (80%) Rule: Race                                                                                                                          4/5ths (80%) Rule: Sex

Impact Ratio =                   -                                                                                                              Impact Ratio =                   -
Evidence of AI?                    -                                                                                                            Evidence of AI?                    -
Impacted Group:                     -                                                                                                          Impacted Group:                      -

Practical Tests: Race                                                                                                                            Practical Tests: Sex
N of 1 (or flip-flop) rule: Assumes 1 more pass (and 1 less fail) in the group with the lowest selection ratio and 1                           N of 1 (or flip-flop) rule: Assumes 1 more pass (and 1 less fail) in the group with the lowest selection ratio and 1
more fail (and 1 more pass) in the group with the highest selection ratio.                                                                     more fail (and 1 more pass) in the group with the highest selection ratio.
White                     Black                      Total                                                                                      Male                    Female                      Total
Pass/Hired                          -                         -                         -                                                      Pass/Hired                           -                         -                        -
Fail/Not Hired                      -                         -                         -                                                      Fail/Not Hired                       -                         -                        -
Total                               -                         -                         -                                                      Total                                -                         -                        -
Pass/Hire Rate                      -                         -                         -                                                      Pass/Hire Rate                       -                         -                        -

Is the adjusted selection rate for the group that initially had the lowest selection rate now                                                  Is the adjusted selection rate for the group that initially had the lowest selection rate now
higher than the other group's?                                                                                                                 higher than the other group's?
If yes, violations of the 4/5ths rule are likely due to small sample sizes.                                                                     If yes, violations of the 4/5ths rule are likely due to small sample sizes.
If no, continue to statistical estimates of adverse impact.                                                                                     If no, continue to statistical estimates of adverse impact.

One person rule: Is the difference between expected hires (rounded down to the nearest                                                         One person rule: Is the difference between expected hires (rounded down to the nearest
whole number) and actual hires < 1 for the group with the lowest selection ratio?                                                              whole number) and actual hires < 1 for the group with the lowest selection ratio?
If yes, violations of the 4/5ths rule are likely due to small sample sizes.                                                                     If yes, continue to statistical estimates of adverse impact.
If no, continue to statistical estimates of adverse impact.                                                                                     If no, violations of the 4/5ths rule are likely due to small sample sizes.

Calculate Fisher's Exact                                                   Clear Data

Statistical Tests: Race                                                                                                                          Statistical Tests: Sex
Adverse Impact Results: Race                                                                                                                     Adverse Impact Results: Sex

Test type               Test Value                  p -value              Significant?        Evidence of AI?                                    Test type              Test Value                  p -value              Significant?         Evidence of AI?

Fisher's Exact                    N/A                                                   -                      -                               Fisher's Exact                     N/A                                                  -                   -
Chi-Square                          -                         -                         -                      -                               Chi-Square                           -                         -                        -                   -
ZD                                  -                         -                         -                      -                               ZD                                   -                         -                        -                   -
ZIR                          -                   -                      -                     -                                                ZIR                          -                   -                      -                     -
Note. Fisher’s exact test does not produce a test value. Chi-Square and ZD are mathematically                                                  Note. Fisher’s exact test does not produce a test value. Chi-Square and Z D are mathematically
equivalent. Neither ZD nor ZIR produce a p -value; if |Z| > 1.96, then it is significant at two-tailed                                         equivalent. Neither ZD nor ZIR produce a p -value; if |Z| > 1.96, then it is significant at two-tailed
α =.05.                                                                                                                                        α =.05.

```
DOCUMENT INFO
Shared By:
Categories:
Stats:
 views: 14 posted: 9/3/2010 language: English pages: 1