Question

An experiment has been conducted for four treatments with eight blocks. Complete the following analysis of variance table (to 2 decimals, if necessary and p-value to 4 decimals). If your answer is zero enter "0". Source of Variation Sum of Squares Degrees of Freedom Mean Square F D -value Treatments 900 Blocks 300 Error Total 1,600 Use a - .05 to test for any significant differences. The p-value is Select What is your conclusion? Select Check My Work (4 remaining)

Answer 1

Sola: Given that there are four treatments les K=4 ....and there are eight blocks na e le h = 8 5 Degrees of freedom (d.f:) for treatments is 4-123 dif for blocks is 8-1 =7 dif for error is = (K-1)(6-1) = 387 = 21 14t dit: foro Total is - Kh-1 = 32-1=31 : Tatal sum of square - 88T 1558 -TSS)" (sum .: TSS = SST ASSB:+'SSE OSS where : TSS : Total sum of Squere i x og SsT sum of squares due to treatments SSB: sum of sequeres due to Blocks SSE : Error sum of square. 5 SST = 900 Tss = 1600 , SSB = 300, SSE = ? SSE = TSS - SST - SSB = 1600 – 900 – 300 = 400.0 - now, mean sauore = Sum of square d. f. → mss T = SST MSST = e = o = 300... - = 300.00 df

MTSS = TSS = 1600 = 51.61 dif(TSS) 31 I mesB' = SSB = 300 en dif(SSB) and moses En = 42.86 = 19.05 400 ond mas E SSE = - 19.05 dif:(SSE) 2 : F = macet nu Fact , (-16-1) = , 21 MSST mSSE (k-1)(ho . = 5 15.75 19.05 | So, p-value is =P[ F3,21 ), 15.75] = 0.000014 from F- Ratio table. . pa Voule = 0.0000 l up to forma decimal place) & Analysis of variance table: Source of variation Treatments sum of squares 90o dif. 3 mean squre 300.00 42.86 19.05 F. 15.75 Blocks 300 # Em Total 400 1600 ob 31 .

P-value = 0.00001 and 220.05 • p. value <a . . we he reject Ho. There is no significant diffon conclusion: we reject Ho aman ☆ there is significant differences.