at the 0.05 level of significance, answer the questions below. .) Is there are interaction effect between the two factors? O Yes O No 2) What is the conclusion regarding the main effect for age (A or rows): O Age does appear to have an effect on the response variable. O Age doesn't appear to have an effect on the response variable. O You should interpret these results with extreme caution since there is interaction between the factors going on. 3) What is the conclusion regarding the main effects for color(B or columns): O Color does appear to have an effect on the response variable. O Color does not appear to have an effect on the response variable. O You should interpret these results with extreme caution since there is interaction between the factors going on.
at the 0.05 level of significance, answer the questions below. .) Is there are interaction effect between the two factors? O Yes O No 2) What is the conclusion regarding the main effect for age (A or rows): O Age does appear to have an effect on the response variable. O Age doesn't appear to have an effect on the response variable. O You should interpret these results with extreme caution since there is interaction between the factors going on. 3) What is the conclusion regarding the main effects for color(B or columns): O Color does appear to have an effect on the response variable. O Color does not appear to have an effect on the response variable. O You should interpret these results with extreme caution since there is interaction between the factors going on.
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Transcribed Image Text:---
**Study Overview: Response Times to On-Screen Stimuli by Age and Color Scheme**
An educational psychologist is investigating how response times to an on-screen stimulus are influenced by two factors: age and color scheme of the stimulus. The researcher anticipates a mild impact of age on response times but expects a more substantial effect due to different color contrasts. Specifically, the study examines three color contrasts:
1. Black on White (B/W)
2. Red on White (R/W)
3. Yellow on Blue (Y/B)
Participants were categorized into three age groups:
1. 16-17 years
2. 18-19 years
3. 20-21 years
The following table displays the response times (in milliseconds) for each age group across the three color schemes:
**Response Times by Age Group and Color Scheme**
| Age | Color Scheme |
|-------|--------------|
| | **B/W** | **R/W** | **Y/B** |
| **16-17** | 25 | 7 | 20 |
| | 9 | 19 | 6 |
| | 21 | 16 | 9 |
| | 21 | 43 | 7 |
| | 13 | 20 | 34 |
| | 10 | 23 | 33 |
| | 5 | 7 | 9 |
| | 11 | 20 | 23 |
| | 35 | 20 | 43 |
| **18-19** | **B/W** | **R/W** | **Y/B** |
|-----------|---------|---------|---------|
| 24 | 36 | 31 |
| 33 | 17 | 31 |
| 25 | 8 | 15 |
| 29 | 44 | 13 |
| 12 | 19 | 24 |
| 28 | 14 | 6 |
| 33 | 7 | 20 |
| 12 | 19 | 28 |
| 10 | 39 | 26 |
| **20-21** | **B/W** | **R/W** | **Y/B** |
|-----------|---------|---------|---------|
| 40 | 26 | 17 |
| 47 | 10 | 14 |
| 44 | 21 | 33 |
| 20 |
Transcribed Image Text:### Analyzing Interaction Effects at 0.05 Significance Level
At the 0.05 level of significance, answer the questions below.
---
#### 1) Is there an interaction effect between the two factors?
- ⃝ Yes
- ⃝ No
---
#### 2) What is the conclusion regarding the main effect for age (A or rows):
- ⃝ Age does appear to have an effect on the response variable.
- ⃝ Age doesn't appear to have an effect on the response variable.
- ⃝ You should interpret these results with extreme caution since there is interaction between the factors going on.
---
#### 3) What is the conclusion regarding the main effects for color (B or columns):
- ⃝ Color does appear to have an effect on the response variable.
- ⃝ Color does not appear to have an effect on the response variable.
- ⃝ You should interpret these results with extreme caution since there is interaction between the factors going on.
---
### Explanation:
This set of questions helps in analyzing the main and interaction effects between two factors, specifically age and color, on a response variable. The interaction effect considers whether the combination of age and color yields a different outcome than expected from their individual effects. The conclusions drawn are critical for understanding how age and color influence the studied variable and whether their effects are independent or interconnected.
This content would be useful for students learning about statistical significance, ANOVA (Analysis of Variance), and the interpretation of interaction effects in experimental designs.
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