Provide reasoning and show your work.

Let's say we hadonlycollected the change detection data with the 1-second delay and we were interested in knowing if there were any significant differences in change detection accuracy (%correct) between the 4 levels of the # of boxes variable. What would be the best statistical approach? HINT - check the chart on page 10 of the Statistics Reference Sheet.

Question 8 options:

A	ANOVA (independant samples)
B	graph the means and error bars and visually inspect if they look different.
C	ANOVA (repeated measures)
D	Conduct a series of indepedent samples t-tests (4vs5, 4vs6, 4vs7, 5vs6, 5vs7, 6vs7)

Using this dataset:

Digit Span	Change Detection - 1 Second Delay
% Correct Data	Average Response Time (All trials)	Average Response time (No change trials)	Average Response time (Change trials)
Subject Number	Digit SpanCapacity	4 box	5 box	6 box	7 box	4 box	5 box	6 box	7 box	4 box	5 box	6 box	7 box	4 box	5 box	6 box	7 box
1	7.00	100	90	60	70	0.92	0.95	1.05	1.10	0.89	0.98	0.94	1.19	0.95	0.93	1.15	1.01
2	7.50	100	90	80	80	1.19	1.02	1.08	1.05	1.41	0.90	1.14	1.00	0.97	1.15	1.03	1.10
3	8.00	50	60	80	60	0.52	0.52	0.54	0.62	0.51	0.42	0.53	0.65	0.54	0.62	0.56	0.60
4	8.25	100	100	90	80	1.25	1.26	1.32	1.66	1.32	1.49	1.46	2.22	1.19	0.85	1.18	0.92
5	8.25	90	70	90	70	0.74	0.88	0.89	1.02	0.72	0.93	0.85	1.07	0.77	0.83	0.93	0.97
6	7.75	100	100	100	100	0.64	0.71	1.00	0.85	0.65	0.75	1.18	0.99	0.62	0.66	0.82	0.72
7	10.00	70	80	70	70	1.53	1.72	1.92	1.69	1.36	1.73	1.77	1.99	1.70	1.71	2.08	1.39
8	6.75	80	60	80	70	0.92	0.88	0.98	1.01	0.82	0.71	1.10	0.87	1.02	1.02	0.86	1.11
9	9.75	90	80	50	80	1.19	1.24	1.18	1.29	1.25	1.27	1.33	1.53	1.12	1.22	1.04	1.06
10	7.25	80	80	60	80	1.27	1.61	2.52	1.24	1.20	1.61	2.43	1.07	1.34	1.61	2.61	1.41
11	6.75	90	70	100	50	1.17	1.20	1.25	1.85	1.40	1.08	1.29	1.43	1.30	1.33	1.20	2.28
12	7.25	90	90	80	100	0.72	0.80	0.93	0.80	0.74	0.71	0.96	0.79	0.70	0.89	0.90	0.80
13	8.33	90	80	80	80	1.50	1.29	1.81	1.67	1.17	1.20	1.34	1.68	1.82	1.38	2.28	1.65
14	7.00	90	90	90	70	1.99	2.13	1.97	1.87	2.25	2.10	1.84	1.97	1.74	2.17	2.10	1.77
15	7.00	50	80	90	60	1.65	1.35	1.48	2.67	1.71	1.56	1.42	3.80	1.59	1.19	1.23	1.51
16	7.75	60	90	70	70	0.86	0.94	0.96	0.88	0.66	0.94	0.90	0.81	1.06	0.94	1.02	0.94
17	8.00	90	60	70	50	0.82	1.13	0.89	1.18	0.74	1.16	0.93	1.31	0.90	1.10	0.85	1.05
18	7.00	80	90	80	70	3.34	1.63	1.72	2.12	5.16	1.65	1.61	2.63	1.52	1.61	1.83	1.60
19	9.00	100	100	90	100	0.93	0.92	1.12	1.15	0.88	0.91	1.28	1.06	0.97	0.93	0.97	1.24
20	9.00	80	80	60	100	1.13	1.11	1.08	1.17	0.81	1.33	1.27	1.41	1.45	0.89	0.90	0.94
21	7.00	100	70	70	70	1.12	1.16	1.32	1.35	1.14	1.17	1.28	1.36	1.09	1.15	1.35	1.34
22	8.00	90	90	100	70	1.23	2.10	1.62	1.62	1.48	2.15	2.04	1.66	0.99	2.04	1.21	1.57
23	7.00	80	90	70	100	1.10	0.95	0.97	1.19	0.95	0.69	0.92	0.85	1.25	1.20	1.02	1.53
24	7.00	90	90	90	90	1.57	1.53	1.59	1.52	1.43	1.56	1.12	1.41	1.71	1.49	2.06	1.62
25	8.00	90	100	90	90	1.24	1.53	1.44	1.56	1.35	1.99	1.46	1.72	1.14	1.07	1.42	1.41
26	7.00	90	80	90	90	1.96	2.16	2.11	1.91	2.31	2.28	2.19	1.98	1.61	2.05	2.04	1.84
27	9.00	100	100	70	90	1.18	1.15	1.31	1.36	1.17	1.14	1.17	1.24	1.18	1.17	1.45	1.49
Mean	7.80
Standard Deviation	0.91644334
Standard Error of Mean	0.176369603
Median