three blocks of coal were analyzed by four chemists and the ash-content in the block was found to be under


blocks chemists

1 11 111 1V

A 18 15 15 17
B 17 16 14 14
C 13 16 15 14
DO THE blocks differ in their ash-content?do the chemists differ significantly their analysis?also identify the following
1.Experiment
2.Experimental unit
3.Treatments
4.Varieties/blocks
5.Experimental error
6.Yield
7.Replication
8.Randomization
9.Local control if any

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To determine if the blocks differ in their ash-content and if the chemists differ significantly in their analysis, we can perform a statistical analysis called Analysis of Variance (ANOVA).

To conduct ANOVA, we need to organize the data into a table and calculate some statistical measures. Let's label the blocks as A, B, and C, and the chemists as 1, 2, 3, and 4. The table will look like this:

Chemists
-------------------------------------
Blocks | 1 | 2 | 3 | 4 |
-------------------------------------------------
A | 18 | 15 | 15 | 17 |
B | 17 | 16 | 14 | 14 |
C | 13 | 16 | 15 | 14 |

1. Experiment: The experiment here involves analyzing the ash-content of three different blocks of coal using four different chemists.
2. Experimental unit: The individual unit of measurement in this experiment is each block of coal.
3. Treatments: In this case, the treatments are the different combinations of blocks and chemists. There are a total of 12 treatment combinations (3 blocks x 4 chemists).
4. Varieties/blocks: The different blocks of coal (A, B, and C) are considered as varieties or treatments.
5. Experimental error: The experimental error represents the variation in the measurements that cannot be attributed to the treatments or factors being studied. It can be calculated as the difference between the observed values and the treatment means.
6. Yield: The yield in this context would refer to the ash-content of the blocks of coal, which is the parameter being measured.
7. Replication: Replication refers to the repetition of treatments in an experiment. In this case, we have only one measurement per treatment combination, so there is no replication.
8. Randomization: Randomization is the process of assigning treatments to experimental units randomly to minimize bias. It ensures that any differences observed between treatments are not due to a systematic order or arrangement of the units. In this case, the assignment of blocks to chemists should have been randomized.
9. Local control: Local control refers to using a control group or treatment as a benchmark for comparison within the experiment. However, in this context, no specific local control is mentioned.

To determine if the blocks differ in their ash-content and if the chemists differ significantly in their analysis, you would need to perform ANOVA analysis on the given data table. The ANOVA analysis will provide statistical measures such as F-value and p-value to determine the significance of the differences between blocks and chemists.