Calculate the F* ratio and write the complete ANOVA table for this data set. do by...

Calculate the F* ratio and write the complete ANOVA table for this data set. do by hand, show work

Red:  9, 11, 10, 9, 15
Green: 20, 21, 23, 17, 30
Black: 6, 5, 8, 14, 7

Solutions

Expert Solution

The following table is obtained:

	Group 1	Group 2	Group 3
	9	20	6
	11	21	5
	10	23	8
	9	17	14
	15	30	7

Sum =	54	111	40
Average =	10.8	22.2	8
\sum_i X_{ij}^2 =∑iXij2=	608	2559	370
St. Dev. =	2.49	4.868	3.536
SS =	24.8	94.8	50
n =	5	5	5

Anova: Single Factor

SUMMARY
Groups	Count	Sum	Average	Variance
Column 1	5	54	10.8	6.2
Column 2	5	111	22.2	23.7
Column 3	5	40	8	12.5


ANOVA
Source of Variation	SS	df	MS	F	P-value
Between Groups	565.7333	2	282.8667	20.01415	0.000151
Within Groups	169.6	12	14.13333

Total	735.3333	14

orchestra answered 1 year ago

Next > < Previous

Related Solutions

Define ANOVA and fully discuss the F ratio. What information does an ANOVA summary table provide?

Problem Set 4.8: One-Way ANOVA in SPSS Criterion: Calculate an ANOVA in SPSS. Data: Tyrone is...

Problem Set 4.8: One-Way ANOVA in SPSS Criterion: Calculate an ANOVA in SPSS. Data: Tyrone is testing out dye strength after washing dyed fabric for his new fabric line. He dyes his fabrics blue, green, and yellow and washes the fabric one time. The following are the dye strength results for 10 pieces of fabric in each color after one wash: Blue Green Yellow 98 55 66 96 53 71 92 57 73 92 60 71 88 52 76 86...

Calculate the theoretical A/F ratio for the complete combustion of propane (C3H8) on mole basis and...

Calculate the theoretical A/F ratio for the complete combustion of propane (C3H8) on mole basis and mass basis. Also, calculate the equivalence ratio for the following reaction: C3H8 + 7O2 + 26.32N2 → 3CO2 + 4H2O + 2O2 + 26.32N2

How do we use the F table to conduct a one-way ANOVA?

data from 4.8: Problem Set 4.8: One-Way ANOVA in SPSS Criterion: Calculate an ANOVA in SPSS....

data from 4.8: Problem Set 4.8: One-Way ANOVA in SPSS Criterion: Calculate an ANOVA in SPSS. Data: Tyrone is testing out dye strength after washing dyed fabric for his new fabric line. He dyes his fabrics blue, green, and yellow and washes the fabric one time. The following are the dye strength results for 10 pieces of fabric in each color after one wash: Blue Green Yellow 98 55 66 96 53 71 92 57 73 92 60 71 88...

Perform the ANOVA F-test by comparing the F ratio to the appropriate value from the F...

Perform the ANOVA F-test by comparing the F ratio to the appropriate value from the F table (use a significance level of .05). Among the different colors, is there a significant difference in mean time needed to complete the trial? do by hand, show work times to complete trial for three groups of 5 participants. Red: 9, 11, 10, 9, 15 Green: 20, 21, 23, 17, 30 Black: 6, 5, 8, 14, 7

PLEASE EXPLAIN YOUR REASONING ANOVA is based on an F-ratio that is calculated as the ratio...

PLEASE EXPLAIN YOUR REASONING ANOVA is based on an F-ratio that is calculated as the ratio of two variance estimates, the variance between groups and the variance within groups, but enables conclusions to be made about the means of the samples involved. What is the logic of that? I.e., explain the rationale that supports the use of variance estimates.

Data set 2 (a). For this series of questions you will perform an F ratio variance...

Data set 2 (a). For this series of questions you will perform an F ratio variance test on the following two samples: Set A: 7, 9, 9, 11, 11, 13 Set B: 5, 5, 8, 10 You will be asked to provide: (a, 4 pts) The value of F. (b, 3 pts) The appropriate critical F value corresponding to an overall alpha value of 0.05 for the F test. (c, 3 pts) Indicate whether the test suggests that the population...

The partially completed ANOVA table for a 3x4 factorial experiment with two replicatioms is provided. Complete parts a through f.

Source df SS MS F A 0.7 B 5.6 AB 9.2 Error Total 18.0 The partially completed ANOVA table for a 3x4 factorial experiment with two replicatioms is provided. Complete parts a through f. A. Complete the ANOVA table. B. Which sums of squares are combined to find the sum of squares for treatment? a. SSA and SSB b. SSE, SSA, and SSB c. SSE and SSAB d. SSA, SSB, and SSAB Do the data provide sufficient evidence to indicate...

complete a between-subjects analysis of variance (ANOVA) by hand for the data: ANOVA data: A: 3,...

complete a between-subjects analysis of variance (ANOVA) by hand for the data: ANOVA data: A: 3, 1, 3, 4, 2 B: 4, 5, 4, 8, 7 C: 2, 3, 2, 4, 1 thank you so much. if you do not know how to do this please carry on! i rate :)

Subjects