Neuropsychnorms - Metadata Anaylsis Tools

Description of data
Number of studies				32
Years of publication				1974-2019
Number of data points				178
Total number of participants				24,022

	n	μ	σ	Range
Age	24,022	38.94	22.42	3 - 99
Education	5,872	4.47	5.11	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 = 59.504 -0.240age
(Black) Oxford Regression Line: [Female] y = -0.002age² + 0.088age + 32.093

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Abnormal indications: None

*Removing a point means the plot is drawn with that point excluded. Curves and lines are recalculated.

Plotting Data

	point ID	Age (aggregate)	Trial Value	Language	x	y
1	190	3	4 ± 1.9	English	113.333	367.564
2	191	3	3.6 ± 1.4	English	113.333	369.808
3	192	4	5.7 ± 2.2	English	120.571	358.029
4	193	4	4.9 ± 1.8	English	120.571	362.516
5	194	5	7.4 ± 2.3	English	127.81	348.494
6	195	5	7 ± 2.2	English	127.81	350.737
7	196	6	9.9 ± 2.9	English	135.048	334.471
8	197	6	9 ± 3	English	135.048	339.519
9	198	7	11.2 ± 3.4	English	142.286	327.179
10	199	7	11.4 ± 3.8	English	142.286	326.058
11	201	8	12.7 ± 3.4	English	149.524	318.766
12	200	8	13.3 ± 3.7	English	149.524	315.401
13	202	9	16.2 ± 4.2	English	156.762	299.135
14	203	9	14.6 ± 3.3	English	156.762	308.109
15	204	10	17.8 ± 4.3	English	164	290.16
16	205	10	17.5 ± 4.4	English	164	291.843
17	206	11	20.9 ± 4.8	English	171.238	272.772
18	207	11	20.3 ± 4.7	English	171.238	276.138
19	208	12	24.2 ± 6.5	English	178.476	254.263
20	209	12	23.5 ± 4.7	English	178.476	258.189
21	211	13	25 ± 5.3	English	185.714	249.776
22	210	13	29.5 ± 7.8	English	185.714	224.535
23	212	14	34.2 ± 7.9	English	192.952	198.173
24	213	14	26.9 ± 6	English	192.952	239.119
25	7	15	33.1 ± 7.8	English	200.19	204.343
26	214	15	37.7 ± 8.9	English	200.19	178.542
27	215	15	28.1 ± 5.3	English	200.19	232.388
28	217	16	28.2 ± 5.4	English	207.429	231.827
29	340	16	38 ± 8.4	English	207.429	176.859
30	345	16	28.1 ± 5	English	207.429	232.388
31	216	16	41 ± 10	English	207.429	160.032
32	218	17	44.5 ± 10	English	214.667	140.401
33	219	17	28.4 ± 5.8	English	214.667	230.705
34	380	17.5	30.2 ± 5.56	Not indicated by study	218.286	220.609
35	375	17.5	43.58 ± 10.25	Not indicated by study	218.286	145.561
36	148	18.5	51.2 ± 6.6	Swiss (inferred by country)	225.524	102.821
37	163	18.5	32 ± 4.8	Swiss (inferred by country)	225.524	210.513
38	346	20.5	28.8 ± 7.8	English	240	228.462
39	341	20.5	49.7 ± 9.7	English	240	111.234
40	105	20.5	54 ± 7.4	English (inferred by country)	240	87.115
41	149	22	53.9 ± 8.7	Swiss (inferred by country)	250.857	87.676
42	164	22	33.4 ± 5.4	Swiss (inferred by country)	250.857	202.66
43	127	22	44.77 ± 6.68	Italian (inferred by country)	250.857	138.886
44	126	22	27.7 ± 4.35	Italian (inferred by country)	250.857	234.631
45	376	23	51.49 ± 11.36	Not indicated by study	258.095	101.194
46	381	23	29.79 ± 6.92	Not indicated by study	258.095	222.909
47	336	24	58.1 ± 7.3	English	265.333	64.119
48	138	24	27.28 ± 5.83	English (inferred by country)	265.333	236.987
49	365	24.5	53.8 ± 7.8	Not indicated by study	268.952	88.237
50	370	24.5	33.3 ± 4.7	Not indicated by study	268.952	203.221
51	277	24.5	55.16 ± 8.48	English	268.952	80.609
52	337	24.5	57.5 ± 6.3	English	268.952	67.484
53	1	24.5	56.84 ± 7.66	English	268.952	71.186
54	63	24.5	47 ± 9.5	English (inferred by country)	268.952	126.378
55	66	24.5	30 ± 7	English (inferred by country)	268.952	221.731
56	180	26	59.4 ± 8.4	German (inferred by country)	279.81	56.827
57	179	26	33.9 ± 4.3	German (inferred by country)	279.81	199.856
58	145	26.5	42.4 ± 6.2	English (inferred by country)	283.429	152.179
59	146	26.5	25.9 ± 4.2	English (inferred by country)	283.429	244.728
60	147	26.5	33.6 ± 9.9	English (inferred by country)	283.429	201.538
61	339	27	34 ± 5.96	English	287.048	199.295
62	150	27	53 ± 7.5	Swiss (inferred by country)	287.048	92.724
63	165	27	34.3 ± 5.7	Swiss (inferred by country)	287.048	197.612
64	384	27.5	31.09 ± 7.33	Not indicated by study	290.667	215.617
65	379	27.5	49.49 ± 10.53	Not indicated by study	290.667	112.412
66	342	28	51.8 ± 8.1	English	294.286	99.455
67	347	28	34.4 ± 9.2	English	294.286	197.051
68	338	28	54.13 ± 9.95	English	294.286	86.386
69	382	28	33.88 ± 7.65	Not indicated by study	294.286	199.968
70	377	28	51.05 ± 8.55	Not indicated by study	294.286	103.662
71	353	29.5	50.8 ± 11.5	English	305.143	105.064
72	350	29.5	43.1 ± 12.1	English	305.143	148.253
73	359	29.5	49.9 ± 8.4	English	305.143	110.112
74	356	29.5	32.7 ± 8.7	English	305.143	206.587
75	362	29.5	31 ± 5.4	English	305.143	216.122
76	166	32	33.8 ± 5.9	Swiss (inferred by country)	323.238	200.417
77	151	32	55 ± 7.1	Swiss (inferred by country)	323.238	81.506
78	371	34.5	33.7 ± 6.2	Not indicated by study	341.333	200.978
79	366	34.5	55.4 ± 7.1	Not indicated by study	341.333	79.263
80	68	34.5	31 ± 5.8	English (inferred by country)	341.333	216.122
81	182	34.5	53.8 ± 8.9	German (inferred by country)	341.333	88.237
82	335	34.5	42.41 ± 13.44	English	341.333	152.123
83	62	34.5	43.34 ± 13.33	English	341.333	146.907
84	178	34.5	52.7 ± 7.9	Belgian (inferred by country)	341.333	94.407
85	181	34.5	38.2 ± 3.1	German (inferred by country)	341.333	175.737
86	67	34.5	47 ± 9.7	English (inferred by country)	341.333	126.378
87	136	35	44.7 ± 9	Belgian (inferred by country)	344.952	139.279
88	137	35	50.1 ± 6.4	Belgian (inferred by country)	344.952	108.99
89	383	35.5	32.98 ± 10.1	Not indicated by study	348.571	205.016
90	378	35.5	52.28 ± 9.57	Not indicated by study	348.571	96.763
91	343	36.5	52.9 ± 8.3	English	355.81	93.285
92	348	36.5	27.7 ± 3.2	English	355.81	234.631
93	167	37	35.8 ± 6.7	Swiss (inferred by country)	359.429	189.199
94	152	37	55.9 ± 7.9	Swiss (inferred by country)	359.429	76.458
95	388	40.5	27.1 ± 8.1	English	384.762	237.997
96	389	40.5	26.37 ± 7.64	English	384.762	242.091
97	390	40.5	43.92 ± 10.51	English	384.762	143.654
98	4	41	48.1 ± 13.4	English	388.381	120.208
99	117	41.5	17.6 ± 5.4	Malay (inferred by country)	392	291.282
100	116	41.5	29.8 ± 8.2	Malay (inferred by country)	392	222.853
101	153	42	54.2 ± 8.1	Swiss (inferred by country)	395.619	85.994
102	168	42	34 ± 6	Swiss (inferred by country)	395.619	199.295
103	184	44.5	48 ± 6.2	German (inferred by country)	413.714	120.769
104	372	44.5	30.7 ± 5.5	Not indicated by study	413.714	217.804
105	367	44.5	50.2 ± 5.3	Not indicated by study	413.714	108.429
106	70	44.5	29 ± 9.8	English (inferred by country)	413.714	227.34
107	183	44.5	36.3 ± 4.3	German (inferred by country)	413.714	186.394
108	387	45	45.4 ± 10.6	English	417.333	135.353
109	135	45.5	35.4 ± 5.2	German (inferred by country)	420.952	191.442
110	134	45.5	55 ± 10.2	German (inferred by country)	420.952	81.506
111	133	45.5	43.7 ± 12.4	German (inferred by country)	420.952	144.888
112	154	47	51.8 ± 8.3	Swiss (inferred by country)	431.81	99.455
113	169	47	34.1 ± 5.3	Swiss (inferred by country)	431.81	198.734
114	360	49.5	48.2 ± 7.3	English	449.905	119.647
115	351	49.5	34 ± 9.7	English	449.905	199.295
116	363	49.5	29.8 ± 5.8	English	449.905	222.853
117	354	49.5	39.8 ± 6	English	449.905	166.763
118	357	49.5	27.7 ± 5.9	English	449.905	234.631
119	155	52	50.8 ± 9.1	Swiss (inferred by country)	468	105.064
120	170	52	33.7 ± 4.5	Swiss (inferred by country)	468	200.978
121	344	52.5	44.5 ± 10.9	English	471.619	140.401
122	349	52.5	28 ± 6.2	English	471.619	232.949
123	373	54.5	28.8 ± 3.6	Not indicated by study	486.095	228.462
124	368	54.5	44.3 ± 5.4	Not indicated by study	486.095	141.522
125	102	54.5	37.59 ± 8.6	English (inferred by country)	486.095	179.159
126	71	54.5	45 ± 8.4	English (inferred by country)	486.095	137.596
127	101	54.5	40.83 ± 12.99	English (inferred by country)	486.095	160.986
128	185	54.5	34.5 ± 7.6	German (inferred by country)	486.095	196.49
129	186	54.5	62.4 ± 13.4	German (inferred by country)	486.095	40
130	72	54.5	28 ± 6.4	English (inferred by country)	486.095	232.949
131	171	57	31.9 ± 4.9	Swiss (inferred by country)	504.19	211.074
132	156	57	53.6 ± 8.6	Swiss (inferred by country)	504.19	89.359
133	8	60	45.1 ± 11.4	English	525.905	137.035
134	172	62	28.7 ± 5.5	Swiss (inferred by country)	540.381	229.022
135	157	62	47.9 ± 6.4	Swiss (inferred by country)	540.381	121.33
136	188	64	45 ± 4.4	German (inferred by country)	554.857	137.596
137	187	64	25.5 ± 4.9	German (inferred by country)	554.857	246.971
138	364	64.5	25 ± 4.9	English	558.476	249.776
139	73	64.5	40 ± 8.3	English (inferred by country)	558.476	165.641
140	74	64.5	24 ± 6.8	English (inferred by country)	558.476	255.385
141	352	64.5	32 ± 10	English	558.476	210.513
142	140	64.5	21.1 ± 4.4	Taiwanese inferred by country	558.476	271.651
143	139	64.5	35 ± 7.6	Taiwanese inferred by country	558.476	193.686
144	355	64.5	38.7 ± 5.9	English	558.476	172.933
145	358	64.5	25.6 ± 5.3	English	558.476	246.41
146	361	64.5	44.5 ± 5.6	English	558.476	140.401
147	109	67	31.8 ± 10.3	Portuguese (inferred by country)	576.571	211.635
148	173	67	29.5 ± 3.6	Swiss (inferred by country)	576.571	224.535
149	158	67	43 ± 6.8	Swiss (inferred by country)	576.571	148.814
150	369	68.5	45.5 ± 5.4	Not indicated by study	587.429	134.792
151	374	68.5	28.3 ± 6.3	Not indicated by study	587.429	231.266
152	386	70	26.9 ± 4	English Australian	598.286	239.119
153	385	70	41.7 ± 6.2	English Australian	598.286	156.106
154	174	72	26.4 ± 6.8	Swiss (inferred by country)	612.762	241.923
155	159	72	41.7 ± 8.9	Swiss (inferred by country)	612.762	156.106
156	142	74.5	20.5 ± 5.6	Taiwanese inferred by country	630.857	275.016
157	110	74.5	28.3 ± 8.3	Portuguese (inferred by country)	630.857	231.266
158	141	74.5	32.5 ± 5.8	Taiwanese inferred by country	630.857	207.708
159	160	77	36.8 ± 8.9	Swiss (inferred by country)	648.952	183.59
160	175	77	25 ± 4.5	Swiss (inferred by country)	648.952	249.776
161	189	80	21.6 ± 8.3	Spanish (inferred by country)	670.667	268.846
162	100	80	17.2 ± 5	Spanish (inferred by country)	670.667	293.526
163	99	80	29.3 ± 7.4	Spanish (inferred by country)	670.667	225.657
164	176	82	19.2 ± 5.2	Swiss (inferred by country)	685.143	282.308
165	161	82	30.7 ± 9.1	Swiss (inferred by country)	685.143	217.804
166	144	84.5	17.8 ± 5.2	Taiwanese inferred by country	703.238	290.16
167	143	84.5	26.5 ± 5.5	Taiwanese inferred by country	703.238	241.362
168	111	86.5	23.8 ± 7.5	Portuguese (inferred by country)	717.714	256.506
169	177	90.5	16.9 ± 4.8	Swiss (inferred by country)	746.667	295.208
170	162	90.5	22.4 ± 6.2	Swiss (inferred by country)	746.667	264.359

Quadratic Regression Line Details

y = ax² + bx + c

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

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

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

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 = 9.7205744264582

y = ax² + bx + c

y = -0.016956405794512x² + 1.525777329664x + 9.7205744264582

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Plotting Data

Quadratic Regression Line Details