OYC 004 Final Degrees of Som of squares 120.42 225.83 180.83 1237.25 1764.33 Sou

Question

OYC 004 Final Degrees of Som of squares 120.42 225.83 180.83 1237.25 1764.33 Source of Me sqareFstatistic Release time 112.915 4.928 54 22.912 Ermor Total 59 1. (3 points) Fill in the rest of the above ANOVA table Do not round any values in the table except the F statistic values, which you should round to at least three decimal places 2. The researcher wants to test for the interaction of the two independent variables State the null and alternative hypotheses of this test using the names of the independent and dependent variables in the study. 3. (1.5 pts) To use the p-value method with the 05 level of significance, it is necessary to find the value of P(F > [],dna [I. d d= [D. What are the three respective values that need to be entered into a statistical calculat or? 4. (2 pts) Suppose that the value of P (F > [ ], d n = nd d [ D obtained from the calculator underst anding of an interaction effect in this in the above is 0.025 State the condusion from the test for the interaction in the context of the study. Your response must reflect your study 5. Would you want to further test for the effect of Movie Genre alone on Box Office Gross and interpret it? Also give your reason for your postive or negative response

Explanation / Answer

Q1.

Let the degrees of freedom of release time be = x

Then df of interaction = df of release time * df of genre

= 2x

df of release time + df of genre + df of interaction + df of error = df of total

=> x + 2 + 2x + 54 = 59

=> 3x = 3

=> x = 1

So, df of release time =1

and df of interaction = 2

Mean square = Sum of squares / degrees of freedom

F statistic = Corresponding Mean square / Error mean square

Hence, the complete ANOVA table is:

Q2.

The researcher wants to test for the interaction effect between the two independent variables (release time and genre)

Null hypothesis: There is no effect due to an interaction between release time and genre of the movie on the gross box office collections of the movie.

Alternate hypothesis: There is a significant effect due to an interaction between release time and genre of the movie on the gross box office collections of the movie.

Q3.

To test this hypothesis,

The test statistic is the F-statistic due to interaction which is equal to 3.946

Under H0,

this statsitic follows F distribution with df = (df of intercation, df of error)

= (2, 54)

Hence,to use the p-value method, we need to compue the value that:

P(F > 3.946, df n = 2, df d = 54)

Q4.

Suppose that the p-value thus obtained from calculating

P(F > 3.946, df n = 2, df d = 54)

is 0.025

We are testing at 0.05 level of significance

which is greater than the p-value = 0.025

So, we reject the null hypothesis that there is no effect due to an interaction between release time and genre of the movie on the gross box office collections of the movie.

Thus, we conclude that there is a statistically significant effect due to an interaction between release time and genre of the movie on the gross box office collections of the movie.

Source of variation Degrees of freedom Sum of squares Mean square F statistic Release time 1 120.42 120.42 5.266 Genre 2 225.83 112.915 4.928 Interaction 2 180.83 90.415 3.946 Error 54 1237.25 22.912 Total 59 1764.33

Related Questions

Navigate

• Browse (All)
• Browse O
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.