Question

In an effort to promote a new product, a marketing firm asks participants to rate the effectiveness of ads that varied by length (short, long) and by type of technology (static, dynamic, interactive). Higher ratings indicated greater effectiveness.

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

Length | 10 | |||

Technology | ||||

Length × Technology | 142 | |||

Error | 570 | 114 | ||

Total | 802 |

(a) Complete the *F*-table and make a decision to retain
or reject the null hypothesis for each hypothesis test. (Assume
experimentwise alpha equal to 0.05.)

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

Length | 10 | |||

Technology | ||||

Length
× Technology |
142 | |||

Error | 570 | 114 | ||

Total | 802 |

State the decision for the main effect of length.

Retain the null hypothesis.Reject the null hypothesis.

State the decision for the main effect of technology.

Retain the null hypothesis.Reject the null hypothesis.

State the decision for the interaction effect.

Retain the null hypothesis.Reject the null hypothesis.

(b) Based on the results you obtained, what is the next step?

No further analysis is needed, because none of the effects are significant.Compute pairwise comparisons for the technology factor. Compute simple main effect tests for the significant interaction.Compute pairwise comparisons for the length factor.

Answer #1

(a)

Source of | SS | df | MS | F |

Variation | ||||

Length | 10 | 1 | 10 | 2 |

Technology | 80 | 2 | 40 | 8 |

Length × | 142 | 2 | 71 | 14.2 |

Technology | ||||

Error | 570 | 114 | 5 | |

Total | 802 | 119 |

State the decision for the main effect of length.

Retain the null hypothesis.

State the decision for the main effect of technology.

Reject the null hypothesis.

State the decision for the interaction effect.

Reject the null hypothesis.

(b) Compute pairwise comparisons for the technology factor.

In an effort to promote a new product, a marketing firm asks
participants to rate the effectiveness of ads that varied by length
(short, long) and by type of technology (static, dynamic,
interactive). Higher ratings indicated greater effectiveness.
Source of Variation
SS
df
MS
F
Length
10
Technology
Length ×
Technology
156
Error
570
114
Total
826
(a) Complete the F-table and make a decision...

In an effort to promote a new product, a marketing firm asks
participants to rate the effectiveness of ads that varied by length
(short, long) and by type of technology (static, dynamic,
interactive). Higher ratings indicated greater effectiveness.
Source of Variation
SS
df
MS
F
Length
15
Technology
Length ×
Technology
152
Error
570
114
Total
827
(a) Complete the F-table and make a decision...

In an effort to promote a new product, a marketing firm asks
participants to rate the effectiveness of ads that varied by length
(short, long) and by type of technology (static, dynamic,
interactive). Higher ratings indicated greater effectiveness.
Source of Variation
SS
df
MS
F
Length
5
Technology
Length ×
Technology
150
Error
570
114
Total
855
(a) Complete the F-table and make a decision to retain
or reject the null hypothesis for each hypothesis test. (Assume
experimentwise alpha equal...

In an effort to promote a new product, a marketing firm asks
participants to rate the effectiveness of ads that varied by length
(short, long) and by type of technology (static, dynamic,
interactive). Higher ratings indicated greater effectiveness.
Source of Variation SS df MS F Length 15 Technology Length ×
Technology 154 Error 570 114 Total 869 (a) Complete the F-table and
make a decision to retain or reject the null hypothesis for each
hypothesis test. (Assume experimentwise alpha equal...

Seasonal affective disorder (SAD) is a type of depression during
seasons with less daylight (e.g., winter months). One therapy for
SAD is phototherapy, which is increased exposure to light used to
improve mood. A researcher tests this therapy by exposing a sample
of patients with SAD to different intensities of light (low,
medium, high) in a light box, either in the morning or at night
(these are the times thought to be most effective for light
therapy). All participants rated...

The following is an incomplete F-table summarizing the
results of a study of the variance of life satisfaction scores
among unemployed, retired, part-time, and full-time employees.
Source of Variation
SS
df
MS
F
Between
groups
17
Within
groups (error)
36
Total
131
(a) Complete the F-table. (Round your values for mean
squares and F to two decimal places.)
Source of Variation
SS
df
MS
F
Between
groups
17
Within
groups (error)
36
Total
131
(b) Compute omega-squared
(ω2).
(Round your...

The following is an incomplete F-table summarizing the
results of a study of the variance of life satisfaction scores
among unemployed, retired, part-time, and full-time employees.
Source of Variation
SS
df
MS
F
Between
groups
20
Within
groups (error)
36
Total
148
(a) Complete the F-table. (Round your values for mean
squares and F to two decimal places.)
Source of Variation
SS
df
MS
F
Between
groups
20
Within
groups (error)
36
Total
148
(b) Compute omega-squared
(ω2).
(Round your...

A study investigated the effects of physical fatigue on the
performance of professional tennis players. Researchers measured
the number of unforced errors committed by a random sample of 12
professional tennis players during the first three sets of a match.
They hypothesized that increased fatigue would be associated with a
greater number of errors. The following is an F-table for
this hypothetical study using the one-way within-subjects
ANOVA.
Source of variation- SS ,df, MS F
Between
groups
15
Between
persons ...

Seasonal affective disorder (SAD) is a type of depression during
seasons with less daylight (e.g., winter months). One therapy for
SAD is phototherapy, which is increased exposure to light used to
improve mood. A researcher tests this therapy by exposing a sample
of patients with SAD to different intensities of light (low,
medium, high) in a light box, either in the morning or at night
(these are the times thought to be most effective for light
therapy). All participants rated...

A study investigated the effects of physical fatigue on the
performance of professional tennis players. Researchers measured
the number of unforced errors committed by a random sample of 12
professional tennis players during the first three sets of a match.
They hypothesized that increased fatigue would be associated with a
greater number of errors. The following is an F-table for this
hypothetical study using the one-way within-subjects ANOVA. Source
of Variation SS df MS Fobt Between groups 15 Between persons...

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