Study 2 ANOVA with WOA as the dependent variable
| Cases | Sum of squares | df | Mean square | F | p |
|---|---|---|---|---|---|
| Humanadvice | 7.562 | 1 | 7.562 | 330.625 | <0.001 |
| Advicehigh | 0.106 | 1 | 0.106 | 4.614 | 0.033 |
| GPT-4 | 1.343 | 1 | 1.343 | 58.719 | <0.001 |
| Temperature | 5.546 × 10–4 | 1 | 5.546 × 10–4 | 0.024 | 0.876 |
| Humanadvice ✻ Advicehigh | 0.897 | 1 | 0.897 | 39.225 | <0.001 |
| HumanAdvice ✻ GPT-4 | 0.573 | 1 | 0.573 | 25.053 | <0.001 |
| Advicehigh ✻ GPT-4 | 2.788 | 1 | 2.788 | 121.885 | <0.001 |
| Humanadvice ✻ Temperature | 0.008 | 1 | 0.008 | 0.348 | 0.556 |
| Advicehigh ✻ Temperature | 0.044 | 1 | 0.044 | 1.904 | 0.169 |
| GPT-4 ✻ Temperature | 0.162 | 1 | 0.162 | 7.099 | 0.008 |
| Humanadvice ✻ Advicehigh ✻ GPT-4 | 0.047 | 1 | 0.047 | 2.044 | 0.154 |
| Humanadvice ✻ Advicehigh ✻ Temperature | 0.113 | 1 | 0.113 | 4.957 | 0.027 |
| Humanadvice ✻ GPT-4 ✻ Temperature | 0.038 | 1 | 0.038 | 1.669 | 0.197 |
| Advicehigh ✻ GPT-4 ✻ Temperature | 0.087 | 1 | 0.087 | 3.785 | 0.053 |
| Humanadvice ✻ Advicehigh ✻ GPT-4 ✻ Temperature | 1.629 × 10–9 | 1 | 1.629 × 10–9 | 7.122 × 10–8 | 1.000 |
| Residuals | 6.953 | 304 | 0.023 |
| Cases | Sum of squares | df | Mean square | F | |
|---|---|---|---|---|---|
| Humanadvice | 7.562 | 1 | 7.562 | 330.625 | <0.001 |
| Advicehigh | 0.106 | 1 | 0.106 | 4.614 | 0.033 |
| GPT-4 | 1.343 | 1 | 1.343 | 58.719 | <0.001 |
| Temperature | 5.546 × 10–4 | 1 | 5.546 × 10–4 | 0.024 | 0.876 |
| Humanadvice ✻ Advicehigh | 0.897 | 1 | 0.897 | 39.225 | <0.001 |
| HumanAdvice ✻ GPT-4 | 0.573 | 1 | 0.573 | 25.053 | <0.001 |
| Advicehigh ✻ GPT-4 | 2.788 | 1 | 2.788 | 121.885 | <0.001 |
| Humanadvice ✻ Temperature | 0.008 | 1 | 0.008 | 0.348 | 0.556 |
| Advicehigh ✻ Temperature | 0.044 | 1 | 0.044 | 1.904 | 0.169 |
| GPT-4 ✻ Temperature | 0.162 | 1 | 0.162 | 7.099 | 0.008 |
| Humanadvice ✻ Advicehigh ✻ GPT-4 | 0.047 | 1 | 0.047 | 2.044 | 0.154 |
| Humanadvice ✻ Advicehigh ✻ Temperature | 0.113 | 1 | 0.113 | 4.957 | 0.027 |
| Humanadvice ✻ GPT-4 ✻ Temperature | 0.038 | 1 | 0.038 | 1.669 | 0.197 |
| Advicehigh ✻ GPT-4 ✻ Temperature | 0.087 | 1 | 0.087 | 3.785 | 0.053 |
| Humanadvice ✻ Advicehigh ✻ GPT-4 ✻ Temperature | 1.629 × 10–9 | 1 | 1.629 × 10–9 | 7.122 × 10–8 | 1.000 |
| Residuals | 6.953 | 304 | 0.023 |
Note(s): Type III Sum of Squares
Study 2 ANOVA Post Hoc tests standard (LSD)
| Mean difference | SE | t | ptukey | ||
|---|---|---|---|---|---|
| Post Hoc comparisons - humanadvice | |||||
| 0 | 1 | −0.307 | 0.017 | −18.183 | <0.001 |
| Note(s): Results are averaged over the levels of: AdviceHigh, GPT-4, Temperature | |||||
| Post Hoc comparisons - advicehigh | |||||
| 0 | 1 | 0.036 | 0.017 | 2.148 | 0.033 |
| Note(s): Results are averaged over the levels of: HumanAdvice, GPT-4, Temperature | |||||
| Post Hoc comparisons - humanadvice ✻ advicehigh | |||||
| 0 0 | 1 0 | −0.413 | 0.024 | −17.286 | <0.001 |
| 0 1 | −0.070 | 0.024 | −2.910 | 0.020 | |
| 1 1 | −0.271 | 0.024 | −11.339 | <0.001 | |
| 1 0 | 0 1 | 0.344 | 0.024 | 14.376 | <0.001 |
| 1 1 | 0.142 | 0.024 | 5.947 | <0.001 | |
| 0 1 | 1 1 | −0.202 | 0.024 | −8.429 | <0.001 |
| Mean difference | SE | ptukey | |||
|---|---|---|---|---|---|
| 0 | 1 | −0.307 | 0.017 | −18.183 | <0.001 |
| Note(s): Results are averaged over the levels of: AdviceHigh, GPT-4, Temperature | |||||
| 0 | 1 | 0.036 | 0.017 | 2.148 | 0.033 |
| Note(s): Results are averaged over the levels of: HumanAdvice, GPT-4, Temperature | |||||
| 0 0 | 1 0 | −0.413 | 0.024 | −17.286 | <0.001 |
| 0 1 | −0.070 | 0.024 | −2.910 | 0.020 | |
| 1 1 | −0.271 | 0.024 | −11.339 | <0.001 | |
| 1 0 | 0 1 | 0.344 | 0.024 | 14.376 | <0.001 |
| 1 1 | 0.142 | 0.024 | 5.947 | <0.001 | |
| 0 1 | 1 1 | −0.202 | 0.024 | −8.429 | <0.001 |
Note(s): p-value adjusted for comparing a family of 4
Results are averaged over the levels of: GPT-4, Temperature
Sharing content requires targeting cookies to be enabled. Please update your cookie preferences to use this feature.