Question

a researcher computed the f ratio for a four group experiment. The computed F is 4.86. The degree of freedom are 3 for the numerator and 16 for the denominator. is the computed value of significant at p < 0.05?

Answer 1

To determine if the computed F-value is statistically significant at p < 0.05, we need to compare it to the critical F-value at the corresponding degrees of freedom and significance level.

In this case, we have:

- Numerator degrees of freedom (df1) = 3

- Denominator degrees of freedom (df2) = 16

- Computed F-value = 4.86

- Significance level (α) = 0.05

To determine if the computed F-value is significant, we can use an F-table or statistical software to find the critical F-value.

Looking up the critical F-value in an F-table with df1 = 3 and df2 = 16, at a significance level of 0.05, we find that the critical F-value is approximately 3.24.

Since the computed F-value (4.86) is greater than the critical F-value (3.24), it falls in the critical region and is statistically significant at the p < 0.05 level. This means that the results of the four-group experiment are considered statistically significant, suggesting that there is a significant difference among the groups.