Neuropsychnorms - Metadata Anaylsis Tools

Plot Education Aggregate

Description of data
Number of studies				32
Years of publication				1974-2019
Number of data points				179
Total number of participants				24,022

	n	μ	σ	Range
Age	24,022	38.72	22.37	3 - 99
Education	5,824	4.29	5.08	0 - 20

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(Orange) Quadratic Regression Line: y = ax² + bx + c y = -0.017x² + 1.526x + 9.721
(Green) Least Squares Regression Line: y = mx + b : y = 0.054x + 32.830
(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	199	7	11.4 ± 3.8	English	84.743	348.269
10	198	7	11.2 ± 3.4	English	84.743	349.615
11	200	8	13.3 ± 3.7	English	93.429	335.481
12	201	8	12.7 ± 3.4	English	93.429	339.519
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	206	11	20.9 ± 4.8	English	119.486	284.327
18	207	11	20.3 ± 4.7	English	119.486	288.365
19	208	12	24.2 ± 6.5	English	128.171	262.115
20	209	12	23.5 ± 4.7	English	128.171	266.827
21	211	13	25 ± 5.3	English	136.857	256.731
22	210	13	29.5 ± 7.8	English	136.857	226.442
23	212	14	34.2 ± 7.9	English	145.543	194.808
24	213	14	26.9 ± 6	English	145.543	243.942
25	215	15	28.1 ± 5.3	English	154.229	235.865
26	214	15	37.7 ± 8.9	English	154.229	171.25
27	7	15	33.1 ± 7.8	English	154.229	202.212
28	217	16	28.2 ± 5.4	English	162.914	235.192
29	14	16	28.1 ± 5	English	162.914	235.865
30	9	16	38 ± 8.4	English	162.914	169.231
31	216	16	41 ± 10	English	162.914	149.038
32	218	17	44.5 ± 10	English	171.6	125.481
33	219	17	28.4 ± 5.8	English	171.6	233.846
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	148	18.5	51.2 ± 6.6	Swiss (inferred by country)	184.629	80.385
37	163	18.5	32 ± 4.8	Swiss (inferred by country)	184.629	209.615
38	15	20.5	28.8 ± 7.8	English	202	231.154
39	105	20.5	54 ± 7.4	English (inferred by country)	202	61.538
40	10	20.5	49.7 ± 9.7	English	202	90.481
41	149	22	53.9 ± 8.7	Swiss (inferred by country)	215.029	62.212
42	164	22	33.4 ± 5.4	Swiss (inferred by country)	215.029	200.192
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	63	24.5	47 ± 9.5	English (inferred by country)	236.743	108.654
50	3	24.5	57.5 ± 6.3	English	236.743	37.981
51	277	24.5	55.16 ± 8.48	English	236.743	53.731
52	66	24.5	30 ± 7	English (inferred by country)	236.743	223.077
53	1	24.5	56.84 ± 7.66	English	236.743	42.423
54	39	24.5	33.3 ± 4.7	Not indicated by study	236.743	200.865
55	34	24.5	53.8 ± 7.8	Not indicated by study	236.743	62.885
56	180	26	59.4 ± 8.4	German (inferred by country)	249.771	25.192
57	179	26	33.9 ± 4.3	German (inferred by country)	249.771	196.827
58	145	26.5	42.4 ± 6.2	English (inferred by country)	254.114	139.615
59	146	26.5	25.9 ± 4.2	English (inferred by country)	254.114	250.673
60	147	26.5	33.6 ± 9.9	English (inferred by country)	254.114	198.846
61	150	27	53 ± 7.5	Swiss (inferred by country)	258.457	68.269
62	6	27	34 ± 5.96	English	258.457	196.154
63	165	27	34.3 ± 5.7	Swiss (inferred by country)	258.457	194.135
64	54	27.5	31.09 ± 7.33	Not indicated by study	262.8	215.74
65	49	27.5	49.49 ± 10.53	Not indicated by study	262.8	91.894
66	47	28	51.05 ± 8.55	Not indicated by study	267.143	81.394
67	16	28	34.4 ± 9.2	English	267.143	193.462
68	52	28	33.88 ± 7.65	Not indicated by study	267.143	196.962
69	11	28	51.8 ± 8.1	English	267.143	76.346
70	5	28	54.13 ± 9.95	English	267.143	60.663
71	31	29.5	31 ± 5.4	English	280.171	216.346
72	28	29.5	49.9 ± 8.4	English	280.171	89.135
73	19	29.5	43.1 ± 12.1	English	280.171	134.904
74	22	29.5	50.8 ± 11.5	English	280.171	83.077
75	25	29.5	32.7 ± 8.7	English	280.171	204.904
76	151	32	55 ± 7.1	Swiss (inferred by country)	301.886	54.808
77	166	32	33.8 ± 5.9	Swiss (inferred by country)	301.886	197.5
78	181	34.5	38.2 ± 3.1	German (inferred by country)	323.6	167.885
79	178	34.5	52.7 ± 7.9	Belgian (inferred by country)	323.6	70.288
80	182	34.5	53.8 ± 8.9	German (inferred by country)	323.6	62.885
81	335	34.5	42.41 ± 13.44	English	323.6	139.548
82	62	34.5	43.34 ± 13.33	English	323.6	133.288
83	35	34.5	55.4 ± 7.1	Not indicated by study	323.6	52.115
84	40	34.5	33.7 ± 6.2	Not indicated by study	323.6	198.173
85	68	34.5	31 ± 5.8	English (inferred by country)	323.6	216.346
86	67	34.5	47 ± 9.7	English (inferred by country)	323.6	108.654
87	136	35	44.7 ± 9	Belgian (inferred by country)	327.943	124.135
88	137	35	50.1 ± 6.4	Belgian (inferred by country)	327.943	87.788
89	53	35.5	32.98 ± 10.1	Not indicated by study	332.286	203.019
90	48	35.5	52.28 ± 9.57	Not indicated by study	332.286	73.115
91	12	36.5	52.9 ± 8.3	English	340.971	68.942
92	17	36.5	27.7 ± 3.2	English	340.971	238.558
93	167	37	35.8 ± 6.7	Swiss (inferred by country)	345.314	184.038
94	152	37	55.9 ± 7.9	Swiss (inferred by country)	345.314	48.75
95	59	40.5	26.37 ± 7.64	English	375.714	247.51
96	58	40.5	27.1 ± 8.1	English	375.714	242.596
97	60	40.5	43.92 ± 10.51	English	375.714	129.385
98	4	41	48.1 ± 13.4	English	380.057	101.25
99	116	41.5	29.8 ± 8.2	Malay (inferred by country)	384.4	224.423
100	117	41.5	17.6 ± 5.4	Malay (inferred by country)	384.4	306.538
101	153	42	54.2 ± 8.1	Swiss (inferred by country)	388.743	60.192
102	168	42	34 ± 6	Swiss (inferred by country)	388.743	196.154
103	184	44.5	48 ± 6.2	German (inferred by country)	410.457	101.923
104	183	44.5	36.3 ± 4.3	German (inferred by country)	410.457	180.673
105	70	44.5	29 ± 9.8	English (inferred by country)	410.457	229.808
106	41	44.5	30.7 ± 5.5	Not indicated by study	410.457	218.365
107	36	44.5	50.2 ± 5.3	Not indicated by study	410.457	87.115
108	57	45	45.4 ± 10.6	English	414.8	119.423
109	135	45.5	35.4 ± 5.2	German (inferred by country)	419.143	186.731
110	133	45.5	43.7 ± 12.4	German (inferred by country)	419.143	130.865
111	134	45.5	55 ± 10.2	German (inferred by country)	419.143	54.808
112	154	47	51.8 ± 8.3	Swiss (inferred by country)	432.171	76.346
113	169	47	34.1 ± 5.3	Swiss (inferred by country)	432.171	195.481
114	32	49.5	29.8 ± 5.8	English	453.886	224.423
115	29	49.5	48.2 ± 7.3	English	453.886	100.577
116	26	49.5	27.7 ± 5.9	English	453.886	238.558
117	23	49.5	39.8 ± 6	English	453.886	157.115
118	20	49.5	34 ± 9.7	English	453.886	196.154
119	170	52	33.7 ± 4.5	Swiss (inferred by country)	475.6	198.173
120	155	52	50.8 ± 9.1	Swiss (inferred by country)	475.6	83.077
121	13	52.5	44.5 ± 10.9	English	479.943	125.481
122	18	52.5	28 ± 6.2	English	479.943	236.538
123	71	54.5	45 ± 8.4	English (inferred by country)	497.314	122.115
124	185	54.5	34.5 ± 7.6	German (inferred by country)	497.314	192.788
125	42	54.5	28.8 ± 3.6	Not indicated by study	497.314	231.154
126	102	54.5	37.59 ± 8.6	English (inferred by country)	497.314	171.99
127	101	54.5	40.83 ± 12.99	English (inferred by country)	497.314	150.183
128	72	54.5	28 ± 6.4	English (inferred by country)	497.314	236.538
129	186	54.5	62.4 ± 13.4	German (inferred by country)	497.314	5
130	37	54.5	44.3 ± 5.4	Not indicated by study	497.314	126.827
131	156	57	53.6 ± 8.6	Swiss (inferred by country)	519.029	64.231
132	171	57	31.9 ± 4.9	Swiss (inferred by country)	519.029	210.288
133	8	60	45.1 ± 11.4	English	545.086	121.442
134	157	62	47.9 ± 6.4	Swiss (inferred by country)	562.457	102.596
135	172	62	28.7 ± 5.5	Swiss (inferred by country)	562.457	231.827
136	187	64	25.5 ± 4.9	German (inferred by country)	579.829	253.365
137	188	64	45 ± 4.4	German (inferred by country)	579.829	122.115
138	30	64.5	44.5 ± 5.6	English	584.171	125.481
139	73	64.5	40 ± 8.3	English (inferred by country)	584.171	155.769
140	33	64.5	25 ± 4.9	English	584.171	256.731
141	21	64.5	32 ± 10	English	584.171	209.615
142	27	64.5	25.6 ± 5.3	English	584.171	252.692
143	140	64.5	21.1 ± 4.4	Taiwanese inferred by country	584.171	282.981
144	24	64.5	38.7 ± 5.9	English	584.171	164.519
145	139	64.5	35 ± 7.6	Taiwanese inferred by country	584.171	189.423
146	74	64.5	24 ± 6.8	English (inferred by country)	584.171	263.462
147	173	67	29.5 ± 3.6	Swiss (inferred by country)	605.886	226.442
148	158	67	43 ± 6.8	Swiss (inferred by country)	605.886	135.577
149	109	67	31.8 ± 10.3	Portuguese (inferred by country)	605.886	210.962
150	38	68.5	45.5 ± 5.4	Not indicated by study	618.914	118.75
151	43	68.5	28.3 ± 6.3	Not indicated by study	618.914	234.519
152	55	70	41.7 ± 6.2	English Australian	631.943	144.327
153	56	70	26.9 ± 4	English Australian	631.943	243.942
154	159	72	41.7 ± 8.9	Swiss (inferred by country)	649.314	144.327
155	174	72	26.4 ± 6.8	Swiss (inferred by country)	649.314	247.308
156	142	74.5	20.5 ± 5.6	Taiwanese inferred by country	671.029	287.019
157	141	74.5	32.5 ± 5.8	Taiwanese inferred by country	671.029	206.25
158	110	74.5	28.3 ± 8.3	Portuguese (inferred by country)	671.029	234.519
159	160	77	36.8 ± 8.9	Swiss (inferred by country)	692.743	177.308
160	175	77	25 ± 4.5	Swiss (inferred by country)	692.743	256.731
161	100	80	17.2 ± 5	Spanish (inferred by country)	718.8	309.231
162	99	80	29.3 ± 7.4	Spanish (inferred by country)	718.8	227.788
163	189	80	21.6 ± 8.3	Spanish (inferred by country)	718.8	279.615
164	161	82	30.7 ± 9.1	Swiss (inferred by country)	736.171	218.365
165	176	82	19.2 ± 5.2	Swiss (inferred by country)	736.171	295.769
166	143	84.5	26.5 ± 5.5	Taiwanese inferred by country	757.886	246.635
167	144	84.5	17.8 ± 5.2	Taiwanese inferred by country	757.886	305.192
168	111	86.5	23.8 ± 7.5	Portuguese (inferred by country)	775.257	264.808
169	162	90.5	22.4 ± 6.2	Swiss (inferred by country)	810	274.231
170	177	90.5	16.9 ± 4.8	Swiss (inferred by country)	810	311.25

Quadratic Regression Line Details

aΣx⁴ + bΣx³ + c Σx² = Σx²y
1373918169.25a + 20705754.75b + 342568c = 11625614.925
aΣx³ + bΣx² + c Σx = Σxy
20705754.75a + 342568b + 6618c = 235918.07
aΣx² + bΣx + nc = Σy
342568a + 6618b + 170c = 5941.37

Σx = 6618

Σy = 5941.37

Σx² = 342568

Σx³ = 20705754.75

Σx⁴ = 1373918169.25

Σxy = 235918.07

Σx²y = 11625614.925

Σxx: 84933.152941176 = 342568 - ( (6618 * 6618) / 170);

Σxy: 4624.0308235294 = 235918.07 - ( (6618 * 5941.37) / 170);

Σxx² : 7369784.0205882= 20705754.75 - ( (342568*6618) / 170);

Σx²y: -346874.71123529= 11625614.925- ( (342568*5941.37) / 170);

Σx²x²: 683607377.34412= 1373918169.25 - ( (342568*342568)/170);

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

a =	((-346874.71123529 · 84933.152941176) - (84933.152941176 · 7369784.0205882))
	((84933.152941176 · 683607377.34412) - (7369784.0205882)²)

a = -0.016956405794512

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

b =	((4624.0308235294 · 683607377.34412) - (-346874.71123529 · 7369784.0205882))
	((84933.152941176 · 683607377.34412) - (7369784.0205882 · 7369784.0205882))

b = 1.525777329664

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

c = (5941.37/170) - (1.525777329664 * (6618/170)) - (-0.016956405794512 * (342568/170));

c = 9.7205744264583

y = ax² + bx + c

y = -0.016956405794512x² + 1.525777329664x + 9.7205744264583

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Quadratic Regression Line Details