An education researcher is interested in students' intentions to persist in university preparation studies (designed for students in Years 11 and 12). The researcher believes that if students participate in an extracurricular training session, then they will be more likely to plan to continue with university preparation studies. This researcher is testing two hypotheses. The first is that the training session provides specific instruction and has an effect on students' persitence. The second is that this treatment effect is moderated by the number of languages spoken. Past research has suggested that there should not be a main effect for being multi-lingual. 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' intentions to persist toward university studies. (The higher the test score, the more positive the result.) Use a 2x2 ANOVA with a = 0.02 to test the the data and evaluate the hypotheses. Results are provided below for each group of students.
An education researcher is interested in students' intentions to persist in university preparation studies (designed for students in Years 11 and 12). The researcher believes that if students participate in an extracurricular training session, then they will be more likely to plan to continue with university preparation studies. This researcher is testing two hypotheses. The first is that the training session provides specific instruction and has an effect on students' persitence. The second is that this treatment effect is moderated by the number of languages spoken. Past research has suggested that there should not be a main effect for being multi-lingual. 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' intentions to persist toward university studies. (The higher the test score, the more positive the result.) Use a 2x2 ANOVA with a = 0.02 to test the the data and evaluate the hypotheses. Results are provided below for each group of students.
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:( 1a) What is the Fvalue for the treatment effect?
(Report answer accurate to 2 decimal place.)
( 1b) What is the p-value for the F value for the treatment effect?
(Report answer accurate to 4 decimal places.)
( 1c) Does this support the researcher's hypothesis that the treatment has an effect on intention to persist toward university studies?
Oyes
Ono
( 2a) What is the Fvalue for the language effect?
(Report answer accurate to 2 decimal place.)
( 2b) What is the p-value for the Fvalue for the language effect?
(Report answer accurate to 4 decimal places.)
( 2c) Does this support the researcher's assumption that language does NOT have an effect on intention to persist toward university studies?
Oyes
Ono
( 3a) What is the Fvalue for the interaction effect?
(Report answer accurate to 2 decimal place.)
( 3b) What is the p-value for the Fvalue for the interaction effect?
(Report answer accurate to 4 decimal places.)
( 3c) Does this support the researcher's hypothesis that the treatment effect is moderated by language?
Oyes
Ono
Transcribed Image Text:An education researcher is interested in students' intentions to persist in university preparation studies (designed for students in Years 11 and 12). The researcher believes that if students participate in an
extracurricular training session, then they will be more likely to plan to continue with university preparation studies.
This researcher is testing two hypotheses. The first is that the training session provides specific instruction and has an effect on students' persitence. The second is that this treatment effect is moderated by the
number of languages spoken. Past research has suggested that there should not be a main effect for being multi-lingual. 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 intentions to persist toward
university studies. (The higher the test score, the more positive the result.)
Use a 2x2 ANOVA with a = 0.02 to test the the data and evaluate the hypotheses. Results are provided below for each group of students.
Factor B: Treatment
Control:
Treatment:
No Training Attend Training
46.8
56.0
50.9
48.1
52.8
46.0
English only
43.1
42.1
53.1
54.8
28.6
49.7
45.5
47.1
Factor A:
Languages
33.6
56.5
48.2
59.1
41.3
72.4
Multilingual
52.0
56.7
44.1
59.9
38.3
61.9
37.0
47.9
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