Dalam reka bentuk rawak, 12 unit uji kaji telah ditetapkan untuk rawatan pertama

Question

Dalam reka bentuk rawak, 12 unit uji kaji telah ditetapkan untuk rawatan pertama, 15 unit untuk rawatan kedua, dan 18 unit untuk rawatan ketiga. Satu jadual separa ANOVA adalah seperti berikut: In a completely randomized design, 12 experimental units were assigned to the first treatment, 15 units to the second treatment, and 18 units to the third treatment. A partial ANOVA table is shown below: i. Salin dan lengkapkan (*) jadual ANOVA di atas. Copy and complete (*) the above ANOVA table. ii. Uji pada aras keertian 5% untuk menentukan sama ada wujud perbezaan antara tiga rawatan. Tafsir hasil keputusan. Test at the 5% significance level to determine if differences exist among the three treatment means. Interpret the result.

Explanation / Answer

a)

Treatments

b.

H0: m1 = m2 = m3 vs.   H1: At least two means differ

Rejection region: F > F0.05,2,42 » 3.23

Test statistics: F = 9.0

Conclusion: Reject the null hypothesis. Yes, differences in means exist in at least two of the three treatment means, according to this data.

Source of Variation SS df MS F

Treatments

630 2 315 9 Error 1470 42 35 Total 2100 44

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