Neuropsychnorms - Metadata Anaylsis Tools

Plot Education Aggregate

Description of data
Number of studies				30
Years of publication				1974-2017
Number of data points				177
Total number of participants				23,594

	n	μ	σ	Range
Age	23,594	38.82	22.46	3 - 99
Education	5,277	3.99	5.05	0 - 20

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(Orange) Quadratic Regression Line: y = ax² + bx + c y = -0.017x² + 1.523x + 9.585
(Green) Least Squares Regression Line: y = mx + b : y = 0.058x + 32.502
(Blue) Oxford Regression Line: [Male] y = 0.000x² + -0.240x + 59.504
(Black) Oxford Regression Line: [Female] y = -0.002x² + 0.088x + 32.093

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Plotting Data

	point ID	Age (aggregate)	Trial Value	Language	x	y
1	190	3	4 ± 1.9	English	50	398.077
2	191	3	3.6 ± 1.4	English	50	400.769
3	192	4	5.7 ± 2.2	English	58.686	386.635
4	193	4	4.9 ± 1.8	English	58.686	392.019
5	195	5	7 ± 2.2	English	67.371	377.885
6	194	5	7.4 ± 2.3	English	67.371	375.192
7	196	6	9.9 ± 2.9	English	76.057	358.365
8	197	6	9 ± 3	English	76.057	364.423
9	198	7	11.2 ± 3.4	English	84.743	349.615
10	199	7	11.4 ± 3.8	English	84.743	348.269
11	201	8	12.7 ± 3.4	English	93.429	339.519
12	200	8	13.3 ± 3.7	English	93.429	335.481
13	202	9	16.2 ± 4.2	English	102.114	315.962
14	203	9	14.6 ± 3.3	English	102.114	326.731
15	204	10	17.8 ± 4.3	English	110.8	305.192
16	205	10	17.5 ± 4.4	English	110.8	307.212
17	207	11	20.3 ± 4.7	English	119.486	288.365
18	206	11	20.9 ± 4.8	English	119.486	284.327
19	209	12	23.5 ± 4.7	English	128.171	266.827
20	208	12	24.2 ± 6.5	English	128.171	262.115
21	211	13	25 ± 5.3	English	136.857	256.731
22	210	13	29.5 ± 7.8	English	136.857	226.442
23	213	14	26.9 ± 6	English	145.543	243.942
24	212	14	34.2 ± 7.9	English	145.543	194.808
25	214	15	37.7 ± 8.9	English	154.229	171.25
26	7	15	33.1 ± 7.8	English	154.229	202.212
27	215	15	28.1 ± 5.3	English	154.229	235.865
28	14	16	28.1 ± 5	English	162.914	235.865
29	9	16	38 ± 8.4	English	162.914	169.231
30	216	16	41 ± 10	English	162.914	149.038
31	217	16	28.2 ± 5.4	English	162.914	235.192
32	219	17	28.4 ± 5.8	English	171.6	233.846
33	218	17	44.5 ± 10	English	171.6	125.481
34	50	17.5	30.2 ± 5.56	Not indicated by study	175.943	221.731
35	45	17.5	43.58 ± 10.25	Not indicated by study	175.943	131.673
36	163	18.5	32 ± 4.8	Swiss (inferred by country)	184.629	209.615
37	148	18.5	51.2 ± 6.6	Swiss (inferred by country)	184.629	80.385
38	105	20.5	54 ± 7.4	English (inferred by country)	202	61.538
39	10	20.5	49.7 ± 9.7	English	202	90.481
40	15	20.5	28.8 ± 7.8	English	202	231.154
41	164	22	33.4 ± 5.4	Swiss (inferred by country)	215.029	200.192
42	149	22	53.9 ± 8.7	Swiss (inferred by country)	215.029	62.212
43	127	22	44.77 ± 6.68	Italian (inferred by country)	215.029	123.663
44	126	22	27.7 ± 4.35	Italian (inferred by country)	215.029	238.558
45	51	23	29.79 ± 6.92	Not indicated by study	223.714	224.49
46	46	23	51.49 ± 11.36	Not indicated by study	223.714	78.433
47	2	24	58.1 ± 7.3	English	232.4	33.942
48	138	24	27.28 ± 5.83	English (inferred by country)	232.4	241.385
49	66	24.5	30 ± 7	English (inferred by country)	236.743	223.077
50	63	24.5	47 ± 9.5	English (inferred by country)	236.743	108.654
51	1	24.5	56.84 ± 7.66	English	236.743	42.423
52	3	24.5	57.5 ± 6.3	English	236.743	37.981
53	34	24.5	53.8 ± 7.8	Not indicated by study	236.743	62.885
54	39	24.5	33.3 ± 4.7	Not indicated by study	236.743	200.865
55	180	26	59.4 ± 8.4	German (inferred by country)	249.771	25.192
56	179	26	33.9 ± 4.3	German (inferred by country)	249.771	196.827
57	145	26.5	42.4 ± 6.2	English (inferred by country)	254.114	139.615
58	146	26.5	25.9 ± 4.2	English (inferred by country)	254.114	250.673
59	147	26.5	33.6 ± 9.9	English (inferred by country)	254.114	198.846
60	6	27	34 ± 5.96	English	258.457	196.154
61	165	27	34.3 ± 5.7	Swiss (inferred by country)	258.457	194.135
62	150	27	53 ± 7.5	Swiss (inferred by country)	258.457	68.269
63	49	27.5	49.49 ± 10.53	Not indicated by study	262.8	91.894
64	54	27.5	31.09 ± 7.33	Not indicated by study	262.8	215.74
65	16	28	34.4 ± 9.2	English	267.143	193.462
66	47	28	51.05 ± 8.55	Not indicated by study	267.143	81.394
67	11	28	51.8 ± 8.1	English	267.143	76.346
68	52	28	33.88 ± 7.65	Not indicated by study	267.143	196.962
69	5	28	54.13 ± 9.95	English	267.143	60.663
70	19	29.5	43.1 ± 12.1	English	280.171	134.904
71	22	29.5	50.8 ± 11.5	English	280.171	83.077
72	25	29.5	32.7 ± 8.7	English	280.171	204.904
73	28	29.5	49.9 ± 8.4	English	280.171	89.135
74	31	29.5	31 ± 5.4	English	280.171	216.346
75	166	32	33.8 ± 5.9	Swiss (inferred by country)	301.886	197.5
76	151	32	55 ± 7.1	Swiss (inferred by country)	301.886	54.808
77	178	34.5	52.7 ± 7.9	Belgian (inferred by country)	323.6	70.288
78	35	34.5	55.4 ± 7.1	Not indicated by study	323.6	52.115
79	181	34.5	38.2 ± 3.1	German (inferred by country)	323.6	167.885
80	68	34.5	31 ± 5.8	English (inferred by country)	323.6	216.346
81	67	34.5	47 ± 9.7	English (inferred by country)	323.6	108.654
82	62	34.5	43.34 ± 13.33	English	323.6	133.288
83	40	34.5	33.7 ± 6.2	Not indicated by study	323.6	198.173
84	182	34.5	53.8 ± 8.9	German (inferred by country)	323.6	62.885
85	137	35	50.1 ± 6.4	Belgian (inferred by country)	327.943	87.788
86	136	35	44.7 ± 9	Belgian (inferred by country)	327.943	124.135
87	53	35.5	32.98 ± 10.1	Not indicated by study	332.286	203.019
88	48	35.5	52.28 ± 9.57	Not indicated by study	332.286	73.115
89	12	36.5	52.9 ± 8.3	English	340.971	68.942
90	17	36.5	27.7 ± 3.2	English	340.971	238.558
91	167	37	35.8 ± 6.7	Swiss (inferred by country)	345.314	184.038
92	152	37	55.9 ± 7.9	Swiss (inferred by country)	345.314	48.75
93	60	40.5	43.92 ± 10.51	English	375.714	129.385
94	59	40.5	26.37 ± 7.64	English	375.714	247.51
95	58	40.5	27.1 ± 8.1	English	375.714	242.596
96	4	41	48.1 ± 13.4	English	380.057	101.25
97	116	41.5	29.8 ± 8.2	Malay (inferred by country)	384.4	224.423
98	117	41.5	17.6 ± 5.4	Malay (inferred by country)	384.4	306.538
99	168	42	34 ± 6	Swiss (inferred by country)	388.743	196.154
100	153	42	54.2 ± 8.1	Swiss (inferred by country)	388.743	60.192
101	41	44.5	30.7 ± 5.5	Not indicated by study	410.457	218.365
102	184	44.5	48 ± 6.2	German (inferred by country)	410.457	101.923
103	36	44.5	50.2 ± 5.3	Not indicated by study	410.457	87.115
104	70	44.5	29 ± 9.8	English (inferred by country)	410.457	229.808
105	183	44.5	36.3 ± 4.3	German (inferred by country)	410.457	180.673
106	57	45	45.4 ± 10.6	English	414.8	119.423
107	133	45.5	43.7 ± 12.4	German (inferred by country)	419.143	130.865
108	134	45.5	55 ± 10.2	German (inferred by country)	419.143	54.808
109	135	45.5	35.4 ± 5.2	German (inferred by country)	419.143	186.731
110	154	47	51.8 ± 8.3	Swiss (inferred by country)	432.171	76.346
111	169	47	34.1 ± 5.3	Swiss (inferred by country)	432.171	195.481
112	29	49.5	48.2 ± 7.3	English	453.886	100.577
113	20	49.5	34 ± 9.7	English	453.886	196.154
114	23	49.5	39.8 ± 6	English	453.886	157.115
115	26	49.5	27.7 ± 5.9	English	453.886	238.558
116	32	49.5	29.8 ± 5.8	English	453.886	224.423
117	155	52	50.8 ± 9.1	Swiss (inferred by country)	475.6	83.077
118	170	52	33.7 ± 4.5	Swiss (inferred by country)	475.6	198.173
119	13	52.5	44.5 ± 10.9	English	479.943	125.481
120	18	52.5	28 ± 6.2	English	479.943	236.538
121	185	54.5	34.5 ± 7.6	German (inferred by country)	497.314	192.788
122	42	54.5	28.8 ± 3.6	Not indicated by study	497.314	231.154
123	186	54.5	62.4 ± 13.4	German (inferred by country)	497.314	5
124	71	54.5	45 ± 8.4	English (inferred by country)	497.314	122.115
125	72	54.5	28 ± 6.4	English (inferred by country)	497.314	236.538
126	102	54.5	37.59 ± 8.6	English (inferred by country)	497.314	171.99
127	37	54.5	44.3 ± 5.4	Not indicated by study	497.314	126.827
128	101	54.5	40.83 ± 12.99	English (inferred by country)	497.314	150.183
129	156	57	53.6 ± 8.6	Swiss (inferred by country)	519.029	64.231
130	171	57	31.9 ± 4.9	Swiss (inferred by country)	519.029	210.288
131	8	60	45.1 ± 11.4	English	545.086	121.442
132	172	62	28.7 ± 5.5	Swiss (inferred by country)	562.457	231.827
133	157	62	47.9 ± 6.4	Swiss (inferred by country)	562.457	102.596
134	188	64	45 ± 4.4	German (inferred by country)	579.829	122.115
135	187	64	25.5 ± 4.9	German (inferred by country)	579.829	253.365
136	24	64.5	38.7 ± 5.9	English	584.171	164.519
137	27	64.5	25.6 ± 5.3	English	584.171	252.692
138	73	64.5	40 ± 8.3	English (inferred by country)	584.171	155.769
139	74	64.5	24 ± 6.8	English (inferred by country)	584.171	263.462
140	21	64.5	32 ± 10	English	584.171	209.615
141	139	64.5	35 ± 7.6	Taiwanese inferred by country	584.171	189.423
142	33	64.5	25 ± 4.9	English	584.171	256.731
143	140	64.5	21.1 ± 4.4	Taiwanese inferred by country	584.171	282.981
144	30	64.5	44.5 ± 5.6	English	584.171	125.481
145	158	67	43 ± 6.8	Swiss (inferred by country)	605.886	135.577
146	109	67	31.8 ± 10.3	Portuguese (inferred by country)	605.886	210.962
147	173	67	29.5 ± 3.6	Swiss (inferred by country)	605.886	226.442
148	38	68.5	45.5 ± 5.4	Not indicated by study	618.914	118.75
149	43	68.5	28.3 ± 6.3	Not indicated by study	618.914	234.519
150	56	70	26.9 ± 4	English Australian	631.943	243.942
151	55	70	41.7 ± 6.2	English Australian	631.943	144.327
152	159	72	41.7 ± 8.9	Swiss (inferred by country)	649.314	144.327
153	174	72	26.4 ± 6.8	Swiss (inferred by country)	649.314	247.308
154	110	74.5	28.3 ± 8.3	Portuguese (inferred by country)	671.029	234.519
155	142	74.5	20.5 ± 5.6	Taiwanese inferred by country	671.029	287.019
156	141	74.5	32.5 ± 5.8	Taiwanese inferred by country	671.029	206.25
157	175	77	25 ± 4.5	Swiss (inferred by country)	692.743	256.731
158	160	77	36.8 ± 8.9	Swiss (inferred by country)	692.743	177.308
159	99	80	29.3 ± 7.4	Spanish (inferred by country)	718.8	227.788
160	189	80	21.6 ± 8.3	Spanish (inferred by country)	718.8	279.615
161	100	80	17.2 ± 5	Spanish (inferred by country)	718.8	309.231
162	161	82	30.7 ± 9.1	Swiss (inferred by country)	736.171	218.365
163	176	82	19.2 ± 5.2	Swiss (inferred by country)	736.171	295.769
164	143	84.5	26.5 ± 5.5	Taiwanese inferred by country	757.886	246.635
165	144	84.5	17.8 ± 5.2	Taiwanese inferred by country	757.886	305.192
166	111	86.5	23.8 ± 7.5	Portuguese (inferred by country)	775.257	264.808
167	162	90.5	22.4 ± 6.2	Swiss (inferred by country)	810	274.231
168	177	90.5	16.9 ± 4.8	Swiss (inferred by country)	810	311.25

Quadratic Regression Line Details

aΣx⁴ + bΣx³ + c Σx² = Σx²y
1372141174.125a + 20649985b + 340777.5c = 11542026.6325
aΣx³ + bΣx² + c Σx = Σxy
20649985a + 340777.5b + 6559c = 233103.505
aΣx² + bΣx + nc = Σy
340777.5a + 6559b + 168c = 5843.8

Σx = 6559

Σy = 5843.8

Σx² = 340777.5

Σx³ = 20649985

Σx⁴ = 1372141174.125

Σxy = 233103.505

Σx²y = 11542026.6325

Σxx: 84703.208333333 = 340777.5 - ( (6559 * 6559) / 168);

Σxy: 4951.8133333333 = 233103.505 - ( (6559 * 5843.8) / 168);

Σxx² : 7345463.4375= 20649985 - ( (340777.5*6559) / 168);

Σx²y: -311756.43= 11542026.6325- ( (340777.5*5843.8) / 168);

Σx²x²: 680895313.96875= 1372141174.125 - ( (340777.5*340777.5)/168);

a =	((Σx²y · Σxx) - (Σxx · Σxx²))
	((Σxx · Σx²x²) - (Σ(xx²)²))

a =	((-311756.43 · 84703.208333333) - (84703.208333333 · 7345463.4375))
	((84703.208333333 · 680895313.96875) - (7345463.4375)²)

a = -0.016884620244218

b =	((xy · Σx²x²) - (Σx²y · Σxx²))
	((Σxx · Σx²x²) - (Σxx² · Σxx²))

b =	((4951.8133333333 · 680895313.96875) - (-311756.43 · 7345463.4375))
	((84703.208333333 · 680895313.96875) - (7345463.4375 · 7345463.4375))

b = 1.5226952618577

c = ((Σy/n) - (b · Σx/n)) - (a · (Σx²/n))

c = (5843.8/168) - (1.5226952618577 * (6559/168)) - (-0.016884620244218 * (340777.5/168));

c = 9.5853598377952

y = ax² + bx + c

y = -0.016884620244218x² + 1.5226952618577x + 9.5853598377952

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Quadratic Regression Line Details