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An art dealer is interested in testing two hypotheses. The first is that paintings sell for the same price, on average, in London, New York, and Tokyo. The second hypothesis is that works of Picasso, Chagall, and Dali sell for the same average price. The dealer is also aware of a third question. This is the question of a possible interaction between the location and the artist. Data on auction prices of 10 works of art by each of the three painters at each of the three cities are collected, and a two-way ANOVA is fitted to the data. Part of the results include the following: The sums of squares associated with the location (factor A) is 1,824. The sum of squares associated with the artist (factor B) is 2,230. The sum of squares for interactions is 804. The sum of squares for error is 8,262. (1) Compute the F-statistic for determining if interaction term is significant (round off answer to two decimal points) (ii)What conclusion can be drawn about the interaction effect?(use critical value=2.484) The interaction effect is not significant, hence the effect of the effect of one factor on the mean response is independent of the the other factor. The interaction effect is not significant, hence the effect of the effect of one factor on the mean response is dependent of the the other factor. The interaction effect is significant, hence the effect of the effect of one factor on the mean response is independent of the the other factor. The interaction effect is significant, hence the effect of the effect of one factor on the mean response is dependent of the the other factor.

An art dealer is interested in testing two hypotheses. The first is that paintings sell for the same price, on average, in London, New York, and Tokyo. The second hypothesis is that works of Picasso, Chagall, and Dali sell for the same average price. The dealer is also aware of a third question. This is the question of a possible interaction between the location and the artist. Data on auction prices of 10 works of art by each of the three painters at each of the three cities are collected, and a two-way ANOVA is fitted to the data. Part of the results include the following: The sums of squares associated with the location (factor A) is 1,824. The sum of squares associated with the artist (factor B) is 2,230. The sum of squares for interactions is 804. The sum of squares for error is 8,262. (1) Compute the F-statistic for determining if interaction term is significant (round off answer to two decimal points) (ii)What conclusion can be drawn about the interaction effect?(use critical value=2.484) The interaction effect is not significant, hence the effect of the effect of one factor on the mean response is independent of the the other factor. The interaction effect is not significant, hence the effect of the effect of one factor on the mean response is dependent of the the other factor. The interaction effect is significant, hence the effect of the effect of one factor on the mean response is independent of the the other factor. The interaction effect is significant, hence the effect of the effect of one factor on the mean response is dependent of the the other factor.

Calculus For The Life Sciences
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter12: Probability
Section12.3: Conditional Probability; Independent Events; Bayes' Theorem
Problem 39E: The following problem submitted by Daniel Hahn of Blairstown, Iowa, appeared in the Ask Marilyn...
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An art dealer is interested in testing two hypotheses. The first is that paintings sell for the same price, on average, in London, New York, and Tokyo. The second hypothesis is that works of Picasso, Chagall, and Dali sell for the same average price. The dealer is also aware of a third question. This is the question of a possible interaction between the location and the artist. Data on auction prices of 10 works of art by each of the three painters at each of the three cities are collected, and a two-way ANOVA is fitted to the data. Part of the results include the following: The sums of squares associated with the location (factor A) is 1,824. The sum of squares associated with the artist (factor B) is 2.230. The sum of squares for interactions is 804. The sum of squares for error is 8,262. (1) Compute the F-statistic for determining if interaction term is significant (round off answer to two decimal points) (11) What conclusion can be drawn about the interaction effect?(use critical value= 2.484) 11 The interaction effect is not significant, hence the effect of the effect of one factor on the mean response is independent of the the other factor. The interaction effect is not significant, hence the effect of the effect of one factor on the mean response is dependent of the the other factor. The interaction effect is significant, hence the effect of the effect of one factor on the mean response is independent of the the other factor. The interaction effect is significant, hence the effect of the effect of one factor on the mean response is dependent of the the other factor.
Transcribed Image Text:An art dealer is interested in testing two hypotheses. The first is that paintings sell for the same price, on average, in London, New York, and Tokyo. The second hypothesis is that works of Picasso, Chagall, and Dali sell for the same average price. The dealer is also aware of a third question. This is the question of a possible interaction between the location and the artist. Data on auction prices of 10 works of art by each of the three painters at each of the three cities are collected, and a two-way ANOVA is fitted to the data. Part of the results include the following: The sums of squares associated with the location (factor A) is 1,824. The sum of squares associated with the artist (factor B) is 2.230. The sum of squares for interactions is 804. The sum of squares for error is 8,262. (1) Compute the F-statistic for determining if interaction term is significant (round off answer to two decimal points) (11) What conclusion can be drawn about the interaction effect?(use critical value= 2.484) 11 The interaction effect is not significant, hence the effect of the effect of one factor on the mean response is independent of the the other factor. The interaction effect is not significant, hence the effect of the effect of one factor on the mean response is dependent of the the other factor. The interaction effect is significant, hence the effect of the effect of one factor on the mean response is independent of the the other factor. The interaction effect is significant, hence the effect of the effect of one factor on the mean response is dependent of the the other factor.
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