Question

Chapter 12 WebAssign

An educator wants to evaluate four different methods aimed at reducing the time children spend "off task" in the classroom. To test these methods, she implements one method in each of four similar classrooms and records the time spent off task (in minutes) in each classroom. The results are given in the table.

Classroom Method | |||
---|---|---|---|

A | B | C | D |

2 | 0 | 0 | 0 |

1 | 5 | 3 | 5 |

3 | 0 | 3 | 4 |

1 | 3 | 4 | 3 |

4 | 1 | 6 | 4 |

4 | 1 | 6 | 2 |

0 | 4 | 5 | 2 |

5 | 5 | 4 | 2 |

2 | 2 | 0 | 4 |

(a) Complete the *F*-table. (Round your answers to two
decimal places.)

Source of Variation |
SS |
df |
MS |
F |
---|---|---|---|---|

Between groups |
||||

Within groups (error) |
||||

Total |

(b) Is it necessary to compute a post hoc test? Explain. (Assume
alpha equal to 0.05.)

Yes, post hoc analyses are appropriate because the ANOVA is significant.

No, post hoc analyses are not appropriate because the ANOVA is not significant.

Answer #1

Data Summary | |||||
---|---|---|---|---|---|

Groups | N | Mean | Std. Dev. | Std. Error | |

Group 1 | 9 | 2.4444 | 1.6667 | 0.5556 | |

Group 2 | 9 | 2.3333 | 2 | 0.6667 | |

Group 3 | 9 | 3.4444 | 2.2423 | 0.7474 | |

Group 4 | 9 | 2.8889 | 1.5366 | 0.5122 |

ANOVA Summary | |||||
---|---|---|---|---|---|

Source | Degrees of Freedom DF |
Sum of Squares SS |
Mean Square MS |
F-Stat | P-Value |

Between Groups |
3 | 6.89 | 2.30 | 0.65 | 0.5898 |

Within Groups |
32 | 113.34 | 3.54 | ||

Total: |
35 | 120.22 |

B) since level of significance = 0.05

P value = 0.5898

Since p value greater than level of significance so there sifficient evidence to conclude that there is not significant difference between mean

So answer

No, post hoc analyses are not appropriate because the ANOVA is not significant.

An educator wants to evaluate four different methods aimed at
reducing the time children spend "off task" in the classroom. To
test these methods, she implements one method in each of four
similar classrooms and records the time spent off task (in minutes)
in each classroom. The results are given in the table.
Classroom
Method
A
B
C
D
4
0
3
2
5
2
6
4
2
3
5
5
0
0
5
1
1
2
4
4
3...

An educator wants to evaluate four different methods aimed at
reducing the time children spend "off task" in the classroom. To
test these methods, she implements one method in each of four
similar classrooms and records the time spent off task (in minutes)
in each classroom. The results are given in the table.
Classroom
Method
A
B
C
D
1
1
4
3
2
4
0
0
3
2
6
2
5
4
5
2
2
6
0
4
1...

An educator wants to evaluate four different methods aimed at
reducing the time children spend "off task" in the classroom. To
test these methods, she implements one method in each of four
similar classrooms and records the time spent off task (in minutes)
in each classroom. The results are given in the table.
Classroom Method
A B C D
2 4 3 2
5 5 4 5
4 0 3 4
4 3 6 4
2 4 5 3
1...

An educator wants to evaluate four different methods aimed at
reducing the time children spend "off task" in the classroom. To
test these methods, she implements one method in each of four
similar classrooms and records the time spent off task (in minutes)
in each classroom. The results are given in the table.
Classroom Method
A. B. C. D
2 4 3 2
5 5 4 5
4. 0. 3 4
4 3 6 4
2 4 5 3
1...

An educator wants to evaluate four different methods aimed at
reducing the time children spend "off task" in the classroom. To
test these methods, she implements one method in each of four
similar classrooms and records the time spent off task (in minutes)
in each classroom. The results are given in the table.
Classroom
Method
A
B
C
D
4
0
0
4
1
5
6
3
3
2
4
2
5
1
4
3
2
1
1
2
4...

An educator wants to evaluate four different methods aimed at
reducing the time children spend "off task" in the classroom. To
test these methods, she implements one method in each of four
similar classrooms and records the time spent off task (in minutes)
in each classroom. The results are given in the table.
Classroom
Method
A
B
C
D
1
1
0
3
1
5
0
2
4
3
4
4
4
4
3
5
0
2
3
4
5...

An educator wants to evaluate four different methods aimed at
reducing the time children spend "off task" in the classroom. To
test these methods, she implements one method in each of four
similar classrooms and records the time spent off task (in minutes)
in each classroom. The results are given in the table.
Classroom
Method
A
B
C
D
2
4
3
3
1
3
6
2
3
2
5
5
6
0
5
4
4
0
0
3
1...

An educator wants to evaluate four different methods aimed at
reducing the time children spend "off task" in the classroom. To
test these methods, she implements one method in each of four
similar classrooms and records the time spent off task (in minutes)
in each classroom. The results are given in the table.
Classroom Method
A
B
C
D
0
2
0
5
2
1
5
2
1
4
5
5
5
4
4
4
4
0
6
2
4...

An educator wants to evaluate four different methods aimed at
reducing the time children spend "off task" in the classroom. To
test these methods, she implements one method in each of four
similar classrooms and records the time spent off task (in minutes)
in each classroom. The results are given in the table.
Classroom
Method
A
B
C
D
2
0
0
3
5
1
0
2
0
0
3
5
4
3
5
4
1
3
3
2
3...

An educator wants to evaluate four different methods aimed at
reducing the time children spend "off task" in the classroom. To
test these methods, she implements one method in each of four
similar classrooms and records the time spent off task (in minutes)
in each classroom. The results are given in the table.
Classroom Method
A
B
C
D
4
3
3
3
2
5
0
4
0
0
6
4
6
2
5
4
1
4
4
5
4...

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