Subjects statistics

Anova Rounding 3C39A6

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1. **State the problem:** We want to verify if rounding was saved until the very end in the ANOVA calculations. 2. **Recall the importance of rounding:** In statistical calculations, intermediate results should keep full precision to avoid rounding errors affecting the final result. 3. **Check intermediate calculations:** - Group means were calculated with decimals (e.g., 54.67, 43.7, 53.7) rounded to two decimals. - Overall mean was calculated using these rounded means but multiplied by 9 and summed before dividing by 27, which is exact. - SSB calculation used squared differences with decimals rounded to two decimals. - SSW sums were given with decimals but likely from full precision data. - Mean squares and F-ratio were calculated using these values. 4. **Conclusion:** The calculations show rounding at intermediate steps (e.g., group means to two decimals), so rounding was not saved strictly until the very end. However, the final F and p-values are consistent with typical rounding practices. **Final answer:** Rounding was applied at intermediate steps, not saved strictly until the very end.