Block Treatment 1 2 3 4 Treatment Mean Tr1 2 1 2 3 2 Tr2 4...
| Block | |||||
| Treatment | 1 | 2 | 3 | 4 | Treatment Mean |
| Tr1 | 2 | 1 | 2 | 3 | 2 |
| Tr2 | 4 | 4 | 1 | 1 | 2.5 |
| Tr3 | 3 | 4 | 3 | 2 | 3 |
| Block Mean | 2 | 3 | 3 | 2 | overall mean = 2.5 |
Consider the randomized block design with 4 blocks and 3 treatments given above. What is the treatment sum of squares?
Homework Answers
![SS treat = 4 [0.5 ] = 2 Sum of squares due to treatment is SS treat - 2](http://img.homeworklib.com/questions/cf506da0-a2d8-11ea-98cd-770ec98476ec.png?x-oss-process=image/resize,w_560)
What is the treatment sum of squares? What is the error sum of squares? What is...
What is the treatment sum of squares?
What is the error sum of squares?
What is the treatment mean square?
What is the block mean square?
What is the mean square error?
What is the value of the F statistic for blocks?
Can we reject the Null Hypothesis? Why?
Test H0: there is no difference between treatment
effects at α = .05.
Block Treatment Mean Treatment Tr1 T2 Tr3 Block Mean 2 1 3 1 4 4 რ Nw NN...
5. A randomized block design is used in an experiment. There are 4 treatments and 3...
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
A randomized block design is used in an experiment. There are 4 treatments and 3 blocks....
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
Consider the experimental results for the following randomized block design. Make the calculations necessary to set...
Consider the experimental results for the following randomized block design. Make the calculations necessary to set up the analysis of variance table. Treatment 10 98 12 18 21 2 3 4 Blocks Use a - .05 to test for any significant differences. Show entries to 2 decimals, if necessary. Round p-value to four decimal places. If your answer is zero enter "o". Source of Variation Sum of Squares Degrees of Freedom Mean Square Treatments Blocks Error Total
Consider the experimental results for the following randomized block design. Make the calculations necessary to set...
Consider the experimental results for the following randomized block design. Make the calculations necessary to set up the analysis of variance table Treatment 1 10 2 13 3 19 4 20 Blocks 15 18 7 Use α-.05 to test for any significant differences. Show entries to 2 decimals, if necessary. Round p-value to four decimal places. If your answer is zero enter "O 15 19 Sum of Squares Source of Degrees of Freedom Mean p-value Variation Square Treatments Blocks Error...
STA1502/101/3/2019 QUESTION 18 A randomized block design with 4 treatments and 5 blocks produce the following...
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
Topic: ANOVA Topic: ANOVA 1- An experiment was conducted using a randomized block design. The data...
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...
Data from a randomized block design are shown in the following table. Treatment Levels 2 3...
Data from a randomized block design are shown in the following table. Treatment Levels 2 3 4 10 7 9 5 Block 1 8 Block 2 6 6 Block 3 7 The Error Sum of Squares (SSE) is_ ○ 4.67 012 ○ 2.33 ○ 28.67 O 11
Consider the experimental results for the following randomized block design. Make the calculations necessary to set...
Consider the experimental results for the following randomized block design. Make the calculations necessary to set up the analysis of variance table. Treatment 10 2 12 3 18 420 Blocks 16 19 15 19 Use α .05 to test for any significant differences. Show entries to 2 decimals, if necessary. Round p-value to four decimal places. If your answer is zero enter "0". Source of Variation Sum of Squares Degrees of Freedom Mean Square Treatments p-value 43 85.7723.39 0.0000 343.07...
The following data are from a completely randomized design. Treatment Treatment Treatment 32 30 30 26...
The following data are from a completely randomized design. Treatment Treatment Treatment 32 30 30 26 32 30 35 38 37 38 42 38 6.5 45 45 47 49 46 Sample mean Sample variance At the α-.05 level of significance, can we reject the null hypothesis that the means of the three treatments are equal? Compute the values below (to 1 decimal, if necessary). Sum of Squares, Treatment Sum of Squares, Error Mean Squares, Treatment Mean Squares, Error
What is the treatment sum of squares?
What is the error sum of squares?
What is the treatment mean square?
What is the block mean square?
What is the mean square error?
What is the value of the F statistic for blocks?
Can we reject the Null Hypothesis? Why?
Test H0: there is no difference between treatment
effects at α = .05.
Block Treatment Mean Treatment Tr1 T2 Tr3 Block Mean 2 1 3 1 4 4 რ Nw NN...
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
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
Consider the experimental results for the following randomized block design. Make the calculations necessary to set up the analysis of variance table. Treatment 10 98 12 18 21 2 3 4 Blocks Use a - .05 to test for any significant differences. Show entries to 2 decimals, if necessary. Round p-value to four decimal places. If your answer is zero enter "o". Source of Variation Sum of Squares Degrees of Freedom Mean Square Treatments Blocks Error Total
Consider the experimental results for the following randomized block design. Make the calculations necessary to set up the analysis of variance table Treatment 1 10 2 13 3 19 4 20 Blocks 15 18 7 Use α-.05 to test for any significant differences. Show entries to 2 decimals, if necessary. Round p-value to four decimal places. If your answer is zero enter "O 15 19 Sum of Squares Source of Degrees of Freedom Mean p-value Variation Square Treatments Blocks Error...
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
Data from a randomized block design are shown in the following table. Treatment Levels 2 3 4 10 7 9 5 Block 1 8 Block 2 6 6 Block 3 7 The Error Sum of Squares (SSE) is_ ○ 4.67 012 ○ 2.33 ○ 28.67 O 11
Consider the experimental results for the following randomized block design. Make the calculations necessary to set up the analysis of variance table. Treatment 10 2 12 3 18 420 Blocks 16 19 15 19 Use α .05 to test for any significant differences. Show entries to 2 decimals, if necessary. Round p-value to four decimal places. If your answer is zero enter "0". Source of Variation Sum of Squares Degrees of Freedom Mean Square Treatments p-value 43 85.7723.39 0.0000 343.07...
The following data are from a completely randomized design. Treatment Treatment Treatment 32 30 30 26 32 30 35 38 37 38 42 38 6.5 45 45 47 49 46 Sample mean Sample variance At the α-.05 level of significance, can we reject the null hypothesis that the means of the three treatments are equal? Compute the values below (to 1 decimal, if necessary). Sum of Squares, Treatment Sum of Squares, Error Mean Squares, Treatment Mean Squares, Error
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