Question

2-Way ANOVA

A researcher was interested in the impact that gender and temperature have on participants’ responses on a memory task. The researcher randomly-selected 20 participants to take part in the experiment: 10 of the participants were male and 10 of the participants were female. The participants from each gender group were then randomly assigned to complete the memory task (scores 1-100) either in a cold room or in a warm room.

Participant	Score	Temp
M1	64	cold
M2	68	warm
M3	23	cold
M4	76	cold
M5	34	warm
M6	54	warm
M7	45	cold
M8	78	cold
M9	45	warm
M10	78	warm
F1	45	warm
F2	56	cold
F3	34	warm
F4	78	cold
F5	98	warm
F6	67	warm
F7	43	cold
F8	35	cold
F9	67	warm
F10	38	cold

Answer 1

Anova: Two-Factor With Replication
SUMMARY	male	female	Total
cold
Count	5	5	10
Sum	286	250	536
Average	57.2	50	53.6
Variance	537.7	309.5	390.9333
warm
Count	5	5	10
Sum	279	311	590
Average	55.8	62.2	59
Variance	309.2	604.7	417.5556
Total
Count	10	10
Sum	565	561
Average	56.5	56.1
Variance	376.9444	447.6556
ANOVA
Source of Variation	SS	df	MS	F	P-value	F crit
temp	145.8	1	145.8	0.331157	0.572984	4.493998
gender	0.8	1	0.8	0.001817	0.966526	4.493998
Interaction	231.2	1	231.2	0.525126	0.479127	4.493998
Within	7044.4	16	440.275
Total	7422.2	19

pa vlue for temp = 0.57

p avlue > 0.05 , not significant

so, does not have significant effect

..............

p avlue for gender = 0.9665

p value > 0.05, not significant

so, does not have sifnificant effect

.......................

Please revert back in case of any doubt.

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