H. E. SopER, A. W. Young, 13. M. Cave, A. Lee, K. Pearson 379 
APPENDIX. 
CORRELATION IN SMALL SAMPLES. 
TABLE A. Onlinates and Constants of Frequency Curves*. 
n = 3. . p variate (correlation in population sampled). 
0 
•1 
. '? 
■3 
■4 
■5 
■6 
•7 
■8 
■9 
_ 
1-00 
00 
00 
00 
00 
00 
00 
00 
00 
00 
00 
_ 
■95 
1019-41 
874-99 
744-21 
624^87 
515-25 
413-97 
319^92 
232-19 
150^04 
72-82 
_ 
■90 
730-25 
631-33 
540 26 
45601 
377-73 
304^70 
236^31 
172-05 
11149 
54-25 
_ 
■85 
604-25 
526-19 
453-08 
384^48 
319-97 
259-17 
20b74 
147-37 
95-78 
46-73 
_ 
■80 
530-52 
465-35 
403-21 
344^03 
287-69 
234^02 
182-85 
1.34-03 
87^38 
42-75 
_ 
■75 
481-24 
425-22 
370-79 
318^13 
267-.34 
218^43 
171-35 
126-04 
82-44 
40-45 
_ 
■70 
445-72 
396-74 
348-18 
300-44 
2.53-76 
208^27 
164-05 
121-12 
79-49 
39-12 
_ 
■65 
418-87 
375-59 
331-78 
287-95 
244-48 
201-60 
159-47 
118-20 
77-84 
38-44 
_ 
■60 
397-89 
359-43 
319-60 
279-03 
238-18 
197-,36 
156-81 
116-70 
77-14 
38-22 
_ 
■55 
381-13 
346^87 
310-50 
272-73 
234-08 
194-94 
1,55-60 
116-29 
77-18 
38-38 
_ 
■50 
367-55 
337^02 
303-74 
268-44 
231-71 
193-97 
155-57 
116-79 
77-82 
38-85 
_ 
■45 
356-44 
329^29 
298-82 
265-77 
230-74 
194-20 
156-54 
118-06 
79-02 
.39-61 
_ 
■40 
347-30 
323^28 
295-41 
264-44 
230-97 
195-48 
158-40 
120-05 
80-72 
40-63 
_ 
■35 
339-80 
318-70 
293-29 
264-28 
232-26 
197-72 
16109 
122-71 
82-91 
41-93 
_ 
■30 
333-68 
31.5-35 
292-30 
265-17 
234-53 
200-85 
164-58 
126-05 
85-60 
43-51 
_ 
■25 
328-75 
313-08 
292-30 
267-01 
2.37-71 
204-86 
168-86 
13008 
88-82 
45-38 
_ 
■20 
324-87 
311-77 
293-24 
269-76 
241-79 
209-74 
173-97 
134-82 
92-59 
47-57 
_ 
■15 
321-95 
311-36 
295-05 
273-39 
246-77 
215-51 
179-94 
140-33 
96-98 
50-12 
- 
■10 
319-91 
311-80 
297-71 
277-91 
252-66 
222-22 
186-82 
146-69 
102-04 
53-08 
■05 
318-71 
313-06 
.301-21 
283-32 
259-51 
229-93 
194-72 
153-99 
107-88 
56-51 
■00 
318-31 
315-13 
305-58 
289-66 
267-38 
238-73 
203-72 
162-34 
114-59 
60-48 
+ 
■05 
318-71 
318-02 
310-83 
296-99 
276-35 
248-73 
213-97 
171-89 
122-33 
65-09 
+ 
■10 
319-91 
321-75 
317-02 
305-38 
286-51 
260-05 
225-63 
182-84 
131-27 
70-48 
+ 
■15 
321-95 
326-39 
324-22 
314-94 
298-02 
272-89 
238-91 
195-41 
141-63 
76-79 
+ 
■20 
324-87 
331-99 
332-52 
325-79 
311-04 
287-45 
254-08 
209-89 
153-71 
84-24 
+ 
■25 
328-75 
338-66 
342-06 
338-10 
325-78 
304-00 
271-45 
226-66 
167-88 
93-11 
+ 
■30 
333-68 
346 -.53 
353-00 
352-08 
342-52 
322-88 
291-45 
246-18 
184-60 
103-75 
+ 
■35 
339-80 
355-76 
365-56 
368-00 
.361-58 
344 -.53 
314-60 
269-08 
204-53 
116-66 
+ 
■40 
347-30 
366-59 
O O A AO 
386-21 
383-43 
O ( 1 I'^A 
^4 1 -Dy 
Zyo-lo 
l6Z-bi 
+ 
■45 
o tv 66 
oyo / 0 
4rUo Oo 
OQO. < Q 
070. OA 
OOQ.IC 
9K7.7Q 
+ 
■50 
oo / -oo 
i.J l-OO 
-i6 i Uo 
1 'i *7 . ( Q 
■iO^ -±0 
oo / Oo 
1 77. -t8 
1 i 1 -to 
+ 
■55 
381-13 
412-36 
439-27 
460-12 
472-45 
472-82 
456-23 
41.5-36 
33909 
210-05 
+ 
■60 
,397-89 
434-08 
466-77 
494- 15 
513-63 
521-35 
511-47 
474-92 
397-07 
253-32 
+ 
■65 
418-87 
460-81 
.500-25 
535-44 
.563-68 
.580-81 
580-15 
550-63 
473-12 
312-61 
+ 
■70 
445-72 
494-50 
542-05 
586-77 
626-01 
655-44 
667-63 
649-38 
575-90 
396-99 
+ 
■75 
481-24 
.538-43 
596-05 
652-77 
706-23 
7,52-17 
782-72 
782-63 
720-25 
523-20 
+ 
■80 
530-52 
598-63 
669-27 
741-91 
814-.50 
883-48 
941-21 
971-06 
933-85 
724-94 
+ 
■85 
604-25 
687-68 
776-82 
871-73 
971-83 
1074-99 
1175-29 
1256-88 
1274-71 
1079-64 
+ 
■90 
730-25 
838-25 
956-77 
1087-46 
1232-06 
1,391-88 
1566-09 
1745-85 
1890-70 
1804-95 
+ 
■95 
1019-41 
1180-31 
136b48 
1568-00 
1806-93 
2088-24 
2426-12 
2839-55 
3341-78 
3802-31 
+ 1-00 
GO 
00 
00 
00 
00 
00 
00 
00 
GO 
GO 
Mean 
•0000 
-0786 
•1579 
-2384 
-3209 
-4063 
-4960 
-5919 
-6976 
-8204 
Antimode 
- -0000 
- -1513 
- •2755 
- -3679 
- -4354 
- -4855 
- -5239 
- -5539 
- -5779 
- -5976 
-7071 
•7045 
•6966 
-6829 
•6629 
-6351 
-5977 
-5470 
-4755 
-3635 
(1 - p-^yVn - 1 
•7071 
•7000 
•6788 
-6435 
•5940 
■5303 
-4525 
•3606 
•2546 
-1.344 
/3i 
■0000 
•0280 
•1152 
-2722 
•5206 
-9018 
1-5002 
2^5105 
4^5031 
10-2226 
^2 
r5000 
1-5323 
1^6329 
1-8142 
2^1011 
2^5423 
3-2.363 
4^4114 
6-7388 
13-4672 
* In all cases the totg,l frequency of the curve is taken as 1000. 
25—2 
