t- and F-Tests in Excel with UNISTAT
The UNISTAT statistics add-in extends Excel with t- and F-Tests capabilities.
For further information visit UNISTAT User's Guide section 6.1.1. t- and F-Tests.
Here we provide a sample output from the UNISTAT Excel statistics add-in for data analysis.
t- and F-Tests
For CA and HB
Subsample selected by: Gender = Male
Difference | Standard Error | t-Statistic | Degrees of Freedom | 1-Tail Probability | 2-Tail Probability | Lower 95% | Upper 95% | |
---|---|---|---|---|---|---|---|---|
Mean(CA) – 0 | 10.2759 | 0.2803 | 36.6614 | 28.0000 | 0.0000 | 0.0000 | 9.7017 | 10.8500 |
Mean(HB) – 0 | 10.9621 | 0.4928 | 22.2426 | 28.0000 | 0.0000 | 0.0000 | 9.9525 | 11.9716 |
Pooled Variance | -0.6862 | 0.5670 | -1.2103 | 56.0000 | 0.1156 | 0.2312 | -1.8220 | 0.4496 |
Separate Variance | -0.6862 | 0.5670 | -1.2103 | 44.3976 | 0.1163 | 0.2326 | -1.8286 | 0.4562 |
Paired | -0.6862 | 0.5368 | -1.2782 | 28.0000 | 0.1058 | 0.2117 | -1.7859 | 0.4135 |
F-Statistic | d.f. Numerator | d.f. Denominator | Right-Tail Probability | 2-Tail Probability | Lower 95% | Upper 95% | |
---|---|---|---|---|---|---|---|
F-Test | 3.0917 | 28 | 28 | 0.0019 | 0.0039 | 1.4515 | 6.5851 |
Levene’s F Test | 10.7675 | 1 | 56 | 0.0018 |
For CA and HB
Subsample selected by: Gender = Female
Difference | Standard Error | t-Statistic | Degrees of Freedom | 1-Tail Probability | 2-Tail Probability | Lower 95% | Upper 95% | |
---|---|---|---|---|---|---|---|---|
Mean(CA) – 0 | 9.4211 | 0.2791 | 33.7609 | 18.0000 | 0.0000 | 0.0000 | 8.8348 | 10.0073 |
Mean(HB) – 0 | 9.1684 | 0.6205 | 14.7768 | 18.0000 | 0.0000 | 0.0000 | 7.8649 | 10.4720 |
Pooled Variance | 0.2526 | 0.6803 | 0.3713 | 36.0000 | 0.3563 | 0.7126 | -1.1271 | 1.6324 |
Separate Variance | 0.2526 | 0.6803 | 0.3713 | 24.9956 | 0.3568 | 0.7135 | -1.1485 | 1.6538 |
Paired | 0.2526 | 0.6380 | 0.3960 | 18.0000 | 0.3484 | 0.6968 | -1.0877 | 1.5929 |
F-Statistic | d.f. Numerator | d.f. Denominator | Right-Tail Probability | 2-Tail Probability | Lower 95% | Upper 95% | |
---|---|---|---|---|---|---|---|
F-Test | 4.9438 | 18 | 18 | 0.0007 | 0.0014 | 1.9047 | 12.8321 |
Levene’s F Test | 9.0816 | 1 | 36 | 0.0047 |
t- and F-Tests
Data variable: CA
Subsample selected by: Gender = Male,Female
Valid Cases | Missing | Mean | Standard Deviation | Difference | Standard Error | t-Statistic | Degrees of Freedom | 1-Tail Probability | 2-Tail Probability | Lower 95% | Upper 95% | |
---|---|---|---|---|---|---|---|---|---|---|---|---|
Mean(Male) – 0 | 29 | 10.2759 | 1.5094 | 10.2759 | 0.2803 | 36.6614 | 28.0000 | 0.0000 | 0.0000 | 9.7017 | 10.8500 | |
Mean(Female) – 0 | 19 | 9.4211 | 1.2164 | 9.4211 | 0.2791 | 33.7609 | 18.0000 | 0.0000 | 0.0000 | 8.8348 | 10.0073 | |
Pooled Variance | 1.4021 | 0.8548 | 0.4138 | 2.0657 | 46.0000 | 0.0223 | 0.0445 | 0.0218 | 1.6878 | |||
Separate Variance | 0.8548 | 0.3955 | 2.1613 | 43.9098 | 0.0181 | 0.0362 | 0.0577 | 1.6520 |
Variance 1 | Variance 2 | F-Statistic | d.f. Numerator | d.f. Denominator | Right-Tail Probability | 2-Tail Probability | Lower 95% | Upper 95% | |
---|---|---|---|---|---|---|---|---|---|
F-Test | 2.2783 | 1.4795 | 1.5399 | 28 | 18 | 0.1712 | 0.3424 | 0.6256 | 3.4962 |
Levene’s F Test | 0.7562 | 1 | 46 | 0.3890 |
Data variable: HB
Subsample selected by: Gender = Male,Female
Valid Cases | Missing | Mean | Standard Deviation | Difference | Standard Error | t-Statistic | Degrees of Freedom | 1-Tail Probability | 2-Tail Probability | Lower 95% | Upper 95% | |
---|---|---|---|---|---|---|---|---|---|---|---|---|
Mean(Male) – 0 | 29 | 10.9621 | 2.6540 | 10.9621 | 0.4928 | 22.2426 | 28.0000 | 0.0000 | 0.0000 | 9.9525 | 11.9716 | |
Mean(Female) – 0 | 19 | 9.1684 | 2.7045 | 9.1684 | 0.6205 | 14.7768 | 18.0000 | 0.0000 | 0.0000 | 7.8649 | 10.4720 | |
Pooled Variance | 2.6739 | 1.7936 | 0.7892 | 2.2727 | 46.0000 | 0.0139 | 0.0278 | 0.2051 | 3.3822 | |||
Separate Variance | 1.7936 | 0.7924 | 2.2636 | 38.1230 | 0.0147 | 0.0294 | 0.1897 | 3.3976 |
Variance 1 | Variance 2 | F-Statistic | d.f. Numerator | d.f. Denominator | Right-Tail Probability | 2-Tail Probability | Lower 95% | Upper 95% | |
---|---|---|---|---|---|---|---|---|---|
F-Test | 7.0439 | 7.3145 | 1.0384 | 18 | 28 | 0.4528 | 0.9056 | 0.4574 | 2.5559 |
Levene’s F Test | 0.0199 | 1 | 46 | 0.8885 |