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.

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### 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.

---

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).
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. --- 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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