Question

ANOVA table:

Source

SS

df

MS

Fcalc

Ftab

Treatments

H

J

34.8889

M

P

Error

84

15

L



Total

I

K






What is the value of P at 0.05 significance level in the ANOVA table? / Wat is die waarde van P met ‘n 0.05 betekenispeil in die ANAVA tabel.?

Answer 1

To determine the value of \( P \) at the 0.05 significance level from the ANOVA table, we need more information about the F-distribution associated with our calculated F-value (\( F_{\text{calc}} \)) and the degrees of freedom (df) for both the treatments and error.

1. **Degrees of Freedom**:
- Treatments df \( = J \)
- Error df \( = 15 \) (given)
- Total df \( = K \) (not provided)

2. **Critical Value (Ftab)**:
To find \( P \), we need to look up the critical value of \( F \) for \( \alpha = 0.05 \) and the respective degrees of freedom in an F-distribution table or by using statistical software. This is the value that \( F_{\text{calc}} \) is compared against.

3. **Calculating \( P \)**:
The p-value can be determined using statistical software or an F-distribution calculator by inputting \( F_{\text{calc}} \), the numerator degrees of freedom (df for treatments), and the denominator degrees of freedom (df for error).

Unfortunately, the specific values for \( J \) (number of groups, which affects the degrees of freedom) and \( H \) (sum of squares for treatments) are not provided in the context you have shared.

Without these values, we cannot calculate the \( F_{\text{tab}} \) or the corresponding \( P \) value. If you provide the missing values \( J \) and potentially \( H \), I could give you a precise answer regarding the \( P \) value.

Could you please provide this missing information?