Once again asking about ANOVA (I don't know who all sees my questions) I do not understand the process the teacher gave us on this information handout, so are you able to help me solve

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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Once again asking about ANOVA (I don't know who all sees my questions) I do not understand the process the teacher gave us on this information handout, so are you able to help me solve the practice problem? 

 

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**ANOVA Table Construction Guide**

In this guide, we aim to construct an ANOVA table. Before achieving this objective, several preliminary steps are necessary. 

### Data Sets

**Chain 1:**
- 7, 7, 6, 5, 3

**Chain 2:**
- 8, 9, 7, 6, 9

**Chain 3:**
- 9, 7, 8, 10, 8

### Hypothesis Setup

**Null Hypothesis (H₀):**  
μ₁ = μ₂ = μ₃  
(All group means are equal)

**Alternate Hypothesis (H₁):**  
At least one pair of means is different.

### Calculations

At this stage, we must calculate the following quantities:

- **SST (Sum of Squares Total)**
- **SSB (Sum of Squares Between the 3 Groups):** This represents the "good" variance.
- **SSW (Sum of Squares Within the 3 Groups):** This represents the "bad" variance.

Thus, we have an additive model:  
\[ \text{SST} = \text{SSB} + \text{SSW} \]

### Steps

**First Step: Calculate the SST**  

Continue following steps to complete your ANOVA table analysis.
Transcribed Image Text:**ANOVA Table Construction Guide** In this guide, we aim to construct an ANOVA table. Before achieving this objective, several preliminary steps are necessary. ### Data Sets **Chain 1:** - 7, 7, 6, 5, 3 **Chain 2:** - 8, 9, 7, 6, 9 **Chain 3:** - 9, 7, 8, 10, 8 ### Hypothesis Setup **Null Hypothesis (H₀):** μ₁ = μ₂ = μ₃ (All group means are equal) **Alternate Hypothesis (H₁):** At least one pair of means is different. ### Calculations At this stage, we must calculate the following quantities: - **SST (Sum of Squares Total)** - **SSB (Sum of Squares Between the 3 Groups):** This represents the "good" variance. - **SSW (Sum of Squares Within the 3 Groups):** This represents the "bad" variance. Thus, we have an additive model: \[ \text{SST} = \text{SSB} + \text{SSW} \] ### Steps **First Step: Calculate the SST** Continue following steps to complete your ANOVA table analysis.
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