The following data is the data pertaining to a feeding trial on sheep. Treatments
A: Grazing only
B: Grazing + Maize Supplements
C: Grazing + Maize + Protein Supplement P1
D: Grazing + Maize + Protein Supplement P2
E: Grazing + Maize + Protein Supplement P3
Layout and Wool Yield (100 gm) is given as:
| 32(D) | 33(E) | 30(C) | 28(B) | 24(A) |
| 51(C) | 45(D) | 41(A) | 45(E) | 29(B) |
| 41 (E) | 29 (A) | 24 (B) | 36 (D) | 35 (C |
| 38 (B | 39(C) | 42(E | 23(A) | 37(D) |
| 38(A | 24(B) | 21(D) | 29(C) | 26(E) |
Analyse the design with appropriate method and calculate the Critical Difference for the treatment mean yield
We are given a feeding trial on sheep with 5 treatments (A, B, C, D, E) arranged in a Randomized Complete Block Design (RCBD) over 5 blocks (rows). We are to calculate the Critical Difference (CD) for treatment means. Step 1: Arrange the data by treatments | Treatment | Observations | Sum | Mean | | --------- | ------------------ | --- | ---- | | A | 24, 41, 29, 23, 38 | 155 | 31.0 | | B | 28, 29, 24, 38, 24 | 143 | 28.6 | | C | 30, 51, 35, 39, 29 | 184 | 36.8 | | D | 32, 45, 36, 37, 21 | 171 | 34.2 | | E | 33, 45, _________ ______ _________ ___ __________ _________ _____ ______ _______ ______ ________ ______.
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In order to compare the mileage yields of 3 kinds of Gasoline, several tests were run, and the following results were obtained:
| Gasoline A: | 19 | 21 | 20 | 18 | 21 | 21 |
| Gasoline B: | 23 | 20 | 22 | 20 | 24 | 23 |
| Gasoline C: | 20 | 17 | 21 | 19 | 20 | 17 |
The following data is the data pertaining to a feeding trial on sheep. Treatments
A: Grazing only
B: Grazing + Maize Supplements
C: Grazing + Maize + Protein Supplement P1
D: Grazing + Maize + Protein Supplement P2
E: Grazing + Maize + Protein Supplement P3
Layout and Wool Yield (100 gm) is given as:
| 32(D) | 33(E) | 30(C) | 28(B) | 24(A) |
| 51(C) | 45(D) | 41(A) | 45(E) | 29(B) |
| 41 (E) | 29 (A) | 24 (B) | 36 (D) | 35 (C |
| 38 (B | 39(C) | 42(E | 23(A) | 37(D) |
| 38(A | 24(B) | 21(D) | 29(C) | 26(E) |
State whether the following statements are true or false and also give the reason in support of your answer:
(a)
(b) The total number of all possible samples of size 3 without replacement from a population of size 7 is 21.
(c) While analysing the data of a 5 × 5 Latin Square design the d.f. for ESS is equal to 16
(d) In a Two-way Analysis of Variance test with 5 observations per cell having 4 blocks and 4 treatments the degree of freedom for the total variation is 64.
(e) The probability of selection of a sample of n from the population by SRSWOR is 1/ N
In a population of size N = 5, the values of the population characteristics are 1, 3, 5, 7, 9, a sample of size 2 is drawn. Verify that is an unbiased estimate of
and
is equal to
A sample of 100 employees is to be drawn from a population of collages A and B. The population means and population mean squares of their monthly wages are given below:
| Village | Ni | ||
| Collage A | 400 | 60 | 20 |
| Collage B | 200 | 120 | 80 |
A sample of 100 employees is to be drawn from a population of collages A and B. The population means and population mean squares of their monthly wages are given below:
| Village | Ni | ||
| Collage A | 400 | 60 | 20 |
| Collage B | 200 | 120 | 80 |
In a population of size N = 5, the values of the population characteristics are 1, 3, 5, 7, 9, a sample of size 2 is drawn. Verify that is an unbiased estimate of
and
is equal to