Raw data in the table below come from an independent-measures experiment comparing three different treatment conditions. Treatment 1. 0 1 0 3 X=1 Treatment 2 1 Which of the following values is the critical value in the analysis (a = .05)? 3.98 19.38 2.90 4.26 4 1 2 X=2 Treatment 3 3 3 4 5 X=3.75 To evaluate the effect of the independent variable, researchers conducted the independent-measures one-way ANOVA. They computed the sum of squares between groups to be 15.5 and the sum of squares within groups 14.75.
Raw data in the table below come from an independent-measures experiment comparing three different treatment conditions. Treatment 1. 0 1 0 3 X=1 Treatment 2 1 Which of the following values is the critical value in the analysis (a = .05)? 3.98 19.38 2.90 4.26 4 1 2 X=2 Treatment 3 3 3 4 5 X=3.75 To evaluate the effect of the independent variable, researchers conducted the independent-measures one-way ANOVA. They computed the sum of squares between groups to be 15.5 and the sum of squares within groups 14.75.
A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
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Transcribed Image Text:### Analysis of Independent-Measures Experiment Data
The table below presents raw data from an independent-measures experiment comparing three different treatment conditions:
#### Data Table
| | **Treatment 1** | **Treatment 2** | **Treatment 3** |
|----------------|-----------------|-----------------|-----------------|
| **Observation 1** | 0 | 1 | 3 |
| **Observation 2** | 1 | 4 | 3 |
| **Observation 3** | 0 | 1 | 4 |
| **Observation 4** | 3 | 2 | 5 |
| **Mean (X̄)** | 1 | 2 | 3.75 |
#### Summary
To evaluate the effect of the independent variable, researchers conducted an independent-measures one-way Analysis of Variance (ANOVA). They computed the sum of squares between groups to be 15.5 and the sum of squares within groups to be 14.75.
#### Question
Which of the following values is the critical value in the analysis (α = 0.05)?
1. 3.98
2. 19.38
3. 2.90
4. 4.26
By understanding the statistical analysis process, this educational resource aims to help students and researchers in interpreting experimental data accurately.
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For those seeking further details on how to perform an ANOVA calculation and identify critical values, numerous statistical textbooks and online resources can provide step-by-step guidance. Remember, the critical value in ANOVA can be found using F-distribution tables or statistical software, considering the degrees of freedom between and within groups, and the level of significance (α).
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