A Randomized Block Design Experiment Produced the Following Data A)Test to Determine Whether the Treatment Means Differ

question 61

Essay

A randomized block design experiment produced the following data. $$\begin{array}{l}\text { Treatment }\\\begin{array} { | c | c c c | } \hline \text { Block } & \text { 1 } & \text { 2 } & \text { 3 } \\\hline 1 & 25 & 27 & 25 \\2 & 19 & 18 & 17 \\3 & 15 & 20 & 16 \\4 & 23 & 27 & 20 \\5 & 30 & 31 & 28 \\\hline\end{array}\end{array}$$ A)Test to determine whether the treatment means differ.(Use $\alpha$ = 0.05.)
Test statistic = ____________________ = ____________________
Critical Value = ____________________
Conclusion: ____________________
Interpretation: _______________________________________
B)Test the effectiveness of the blocking variable.(Use $\alpha$ = 0.05.)
Test statistic = ____________________ = ____________________
Critical Value = ____________________
Conclusion: ____________________
Interpretation: ________________________________________

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Definitions:

Internal Validity

The extent to which a study can rule out or make unlikely alternative explanations of the results, indicating that the causal relationship being tested is trustworthy.

Construct Validity

The degree to which a test or instrument accurately measures the theoretical construct it is intended to measure.

Low Construct Validity

When a test or tool does not accurately measure the theoretical concept it is intended to measure.

Operational Definition

A clear, precise description of how variables in a study will be measured or manipulated, making research findings replicable and understandable.