An education researcher is interested in studeres performance on a standardised reading test. The researcher believes that it uderes participate in an extracurricular training session, then they will be more likely to perform better on the reading test. This researcher is tesing two hypotheses. The first is that the training session provides specific instruction and has an ellect on uderes reading test scores. The second is that this treatment effect is moderated by the number of langunges spoken. Past search has suggesed that there should not be a main ellect for being multi-lingual. However, to corerol for this possibility, a 2 way b2) factorial ANOVA is being conducted to account for any influence from language, the treatment, and the inceraction of the two nain ellects. To test the hypotheses, the research has obsained 28 participants 14 Engish only speakers and 14 students who speak English

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An education researcher is interested in students’ performance on a standardized reading test. The researcher believes that if students participate in an extracurricular training session, then they will be more likely to perform better on the reading test.

This researcher is testing two hypotheses. The first is that the training session provides specific instruction and has an effect on students’ reading test scores. The second is that this treatment effect is likely moderated by the number of languages spoken. Past research has suggested that the school in this example has a lot of bilingual students. However, to control for this possibility, a 2-way (2x2) factorial ANOVA is being conducted to account for any influence from language, the treatment, and the interaction of the two main effects. 

To test the hypotheses, the research has obtained 28 participants: 14 English-only speakers and 14 students who speak English and at least one other language. From each group of 14, 7 students were randomly chosen for the treatment group. After the treatment, all students were given the same test. This test has been used in previous research, has a range of 0 to 100, and measures students' reading comprehension. (The higher the test score, the more positive the result.)

Use a 2x2 ANOVA with α = 0.02 to test the data and evaluate the hypotheses. Results are provided below for each group of students.

|                                 | **Factor B: Treatment**           |
|---------------------------------|-----------------------------------|
| **Factor A: Languages**         | **Control: No Training** | **Treatment: Attend Training** |
| **English only**                |   53.2                     |   67.2                      |
|                                 |   54.6                     |   67.6                      |
|                                 |   45.0                     |   70.4                      |
|                                 |   46.6                     |   76.2                      |
|                                 |   61.9                     |   61.5                      |
|                                 |   41.9                     |   71.0                      |
|                                 |   35.8                     |   55.6                      |
| **Multilingual**                |                             |                           |
|                                 |   59.9                     |   83.1                      |
|                                 |   41.6                     |   66.7                      |
|                                 |   61.6
Transcribed Image Text:An education researcher is interested in students’ performance on a standardized reading test. The researcher believes that if students participate in an extracurricular training session, then they will be more likely to perform better on the reading test. This researcher is testing two hypotheses. The first is that the training session provides specific instruction and has an effect on students’ reading test scores. The second is that this treatment effect is likely moderated by the number of languages spoken. Past research has suggested that the school in this example has a lot of bilingual students. However, to control for this possibility, a 2-way (2x2) factorial ANOVA is being conducted to account for any influence from language, the treatment, and the interaction of the two main effects. To test the hypotheses, the research has obtained 28 participants: 14 English-only speakers and 14 students who speak English and at least one other language. From each group of 14, 7 students were randomly chosen for the treatment group. After the treatment, all students were given the same test. This test has been used in previous research, has a range of 0 to 100, and measures students' reading comprehension. (The higher the test score, the more positive the result.) Use a 2x2 ANOVA with α = 0.02 to test the data and evaluate the hypotheses. Results are provided below for each group of students. | | **Factor B: Treatment** | |---------------------------------|-----------------------------------| | **Factor A: Languages** | **Control: No Training** | **Treatment: Attend Training** | | **English only** | 53.2 | 67.2 | | | 54.6 | 67.6 | | | 45.0 | 70.4 | | | 46.6 | 76.2 | | | 61.9 | 61.5 | | | 41.9 | 71.0 | | | 35.8 | 55.6 | | **Multilingual** | | | | | 59.9 | 83.1 | | | 41.6 | 66.7 | | | 61.6
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