1910] NAKANO—FLORETS OF ASTER - 349 
that correlation certainly exists in some degree. From the data of 
this table, I computed by PEARsoN’s method the coefficient of corre- 
lation between the rays and disk florets of Aster jastigiatus. The 
result of my calculation is r=o.3219+0.0111. Since the coeffi- 
cient of correlation always lies between o and 1, my result shows a 
significant correlation, though not in a high degree. Generally 
the correlation between the rays and disk florets appears not very 
large (SHULL 12), so that SHULL found this coefficient only 0. 574+ - 
0.353 in Aster prenanthoides; while he obtained in the correlation 
of its rays and bracts 0.8559-0.7986. As to the change of the 
coefficient of correlation in the flowering season, which WELDON 
(11) and SHULL (12) discovered in another species, a future investi- 
gation of Aster fastigiatus is necessary. 
CORRELATION SURFACE 
Disk FLORETS MEAN OF 
Rays a DISK 
° I 2 3 4 5 6 ¥ 8 0.4) SO IS7558.) 3 e a 
PO ek I Sy I ° 
Rae pe at i 3 a. 41: 6.250 
Reece.) an OS 5 + . a | 3-5ee 
i eas ty) 4 TS) 44) Sal Al Slt ee 103 6.342 
Eat ..| 3} 26} 43] 62] 39] 10 1 18 6.754 
Be ecu, cb SP SM Ratko) 79) 201 9). 317 | 6.997 
eis: I} 4] 30|L09|153/130] 66) 14) 4/ . Ste 1 F985 
BPa ee ee ts cal 2-23) aires 162) 76 11 3h 541 7-484 
5 aie Fee nne is I 2| 16] 58|120|168| 83] 21] 1] 1 471 | 7.645 - 
BQ ie oe I 71: $31 921 O41 52] 201 5) - 303 7.677 
“ta Deas ai 251 Ssi 597) 27). 71 3h 177 7.633 
eee 2| 15| 37| 46| 24 3} - 135 | 7-822 
Serco le capes 2 2| 18 49) Tors He I 59 8.153 
5, SB a ei G1 ro) 18> Bl Sea 48 | 7. 71t 
Se eae S tT} .3| SEIS) SL Ga AL 43 8.419 
een rea Bro: Bh al 17 1S. 412 
ond ie I 2 ed eee Io; 9. 
Rin RS yo) teagan pagtehe Bere (OPE pot 2 4 aes es Sap 219.500 
ee) eee ab aes eet aad yuk ORE Seb ear ent et 2 | 10.000 
w0tb oc} os) ae) 4| 25|172/493/872|850| 384/117) 34] 3) 2/2959 
My thanks are due to Professor Mryosnt for his valuable sug- 
gestions. 
Summary 
I. In the variation of the number of the rays and disk florets of 
Aster fastigiatus Fisch. and Mey., the curve is always monomodal, 
and its mode does not belong to the Fibonacci series. 
