1-A randomized block design ANOVA has five treatments and four blocks
Topic: ANOVA Topic: ANOVA 1- An experiment was conducted using a randomized block design. The data from the experiment are displayed in the following table. Block Treatment 1 2 3 1 2 3 5 2 8 6 7 3 7 6 5 a) Fill in the missing entries in the ANOVA table. Source df SS MS F Treatment 2 21.5555 Block 2 Error 4 Total 8 30.2222 b) Specify the null use to investigate whether a difference exists among the...
STA1502/101/3/2019 QUESTION 18 A randomized block design with 4 treatments and 5 blocks produce the following sum of squares values: SS Total 1951 SST 349 SSE 18 The value of SSB must be: 1. 1414 2. 537 3. 1763 4. 1602 5. 534
The following data were obtained for a randomized block design involving five treatments and three blocks: SST = 490, SSTR = 310, SSBL = 95. Set up the ANOVA table. (Round your value for F to two decimal places, and your p-value to three decimal places.) Source of Variation Sum of Squares Degrees of Freedom Mean Square F p-value Treatments Blocks Error Total Test for any significant differences. Use α = 0.05. State the null and alternative hypotheses. H0: At...
An experiment employing a randomized block design has 4 treatments and nine blocks, for a total of 4x9=36 observations. Conduct a test at alpha 0.05 to verify whether the block means are equal, knowing that SSTO = 500, SST = 50% of the total Sum of Squares and SSB is = 20% of SSTO. The results of the analysis for block effect are: O F = 2; Rejection region F =2.36 Fail to reject Ho, There is no block effect...
A randomized block design is used in an experiment. There are 4 treatments and 3 blocks. Use the information below to complete the table. Ź(2) - x)?= 50 (<1– )² = 712 Σα, (Xi - x)2 = 98 j=1 i=1 j=1 Degrees of Freedom Sum of Squares Mean Square f P value Source of Variation Treatments Blocks Error Total
A randomized block design yielded the following ANOVA table. Source df SS MS F Treatments 4 501 125.25 9.109 Blocks 2 1 225 112.50 8.182 Error 8 110 13.75 Total 14 836 A. How many blocks and treatments were used in the experiment? B. How many observations were collected in the experiment? C. Specify the null and alternative hypothesis you may use to compare the treatment means. D. Conduct the test of hypothesis and comment on the result. Use a...
5. A randomized block design is used in an experiment. There are 4 treatments and 3 blocks. Use the information below to complete the table. b a b a (*; – x)² = 50 {(xy - x)= 712 (#4 - 3)2 = 98 i=1 j=1 i= Degrees of Freedom Sum of Squares Mean Square f P value Source of Variation Treatments Blocks Error Total
16. Some completely randomized design has six (6) treatments with nine (9) observations collected from cach treatment. Assume all pairwise comparisons of treatment means are to be made using a multiple con- parisons procedure. Determine the total number of treatment means to be compared. (a) 36 (b) 15 (c) 27 (d) 105 17. An experiment was conducted using a completely randomized block design with eight (8) treatments and five (5) blocks. Find the degrees of freedom associated with MIST and...
Consider a randomized block design involving three treatments and two blocks. Define all variables. x1 x2 Treatment 0 1 0 2 1 3 Let x3 = 0 if ---Select--- treatment 1 block 1 treatment 3 is in effect and 1 if ---Select--- treatment 3 block 2 treatment 2 is in effect. Write a multiple regression equation that can be used to analyze the data. E(y) =
A randomized block design yielded the ANOVA table to the right. Complete parts a through g. Source Treatments Blocks Error Total df 5 2 10 17 SS 504 276 120 900 MS 100.8 138.0 12.0 F 8.400 11.500 a. How many blocks and treatments were used in the experiment? There were There were blocks and treatments used. b. How many observations were collected in the experiment? n=0 c. Specify the null and alternative hypotheses you would use to compare the...