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Consider the following partially completed ANOVA and give the value of (g). / Beskou die onvoltooide ANOVA en gee die waarde van (g).



Source SS df MS Fstat Ftab
Treatments 142.67 (d) 35.6675 (g) (i)
Blocks 68.14 5 (f) (h) (j)
Errors (b) 20 1.9165
Total (c) (e)

1 answer

To determine the value of \( g \) (the F-statistic for Treatments), we need to utilize the available information from the ANOVA table provided.

  1. We know that \( F \) is calculated as follows: \[ F = \frac{MS_{Treatments}}{MS_{Errors}} \] where \( MS \) represents the Mean Square.

  2. The given data includes:

    • \( MS_{Treatments} = 35.6675 \)
    • \( MS_{Errors} = 1.9165 \)

  3. We can plug these values into the formula for \( F \): \[ F_{Treatments} = \frac{35.6675}{1.9165} \]

  4. Now let's calculate \( F \): \[ F_{Treatments} \approx \frac{35.6675}{1.9165} \approx 18.60 \]

Thus, the value of \( g \) is approximately 18.60.

If you need further details or calculations for other parts of the ANOVA, let me know!