Part 8

+--------+-------+------+-----------+ | Grade | | | | | of |Totals.|Means.|Regression.| |parents.| | | | +--------+-------+------+-----------+ | 2 | 46 | 1.70 | .30 | | 2⅛ | 56 | 1.28 | .82 | | 2¼ | 8 | 1.87 | .38 | | 2⅜ | 45 | 1.92 | .45 | | 2½ | 133 | 1.80 | .70 | | 2⅝ | 44 | 2.11 | .51 | | 2¾ | 52 | 1.92 | .83 | | 2⅞ | 23 | 2.41 | .46 | | 3 | 59 | 2.47 | .53 | | 3½ | 5 | 2.50 | .62 | | +-------+------+-----------+ |Totals | | | | | or | | | | |means, | | | | | 2.52| 471 | 1.92 | .60 | +--------+-------+------+-----------+

TABLE 3.—Classification of offspring in generation 3, plus selection series.

+--------+-----------------------------------------+---------------------+ | Grade | Grade of offspring. |Totals. | | of +--+--+--+--+--+--+--+--+--+--+--+--+--+--+ Means. | |parents.| ¾| 1|1¼|1½|1¾| 2|2¼|2½|2¾| 3|3¼|3½|3¾| 4| Regression.| +--------+--+--+--+--+--+--+--+--+--+--+--+--+--+--+-----+------+--------+ | 2⅛ | | | 1| 1| 5| 6| 4| 1| 3| | | | | | 21 | 2.06 | .06 | | 2¼ | | | | | | | | | | | | | | | | | | | 2⅜ | | | | | 5| 5| 1| 4| 2| | | | | | 17 | 2.15 | .22 | | 2½ | 1| 2| 1| 2| 5| 5|10|10| 9| 7| 2| | | | 54 | 2.32 | .18 | | 2⅝ | | | 2| 1| 3| 9| 4| 5|15|18| 3| 1| 2| 1| 64 | 2.64 | -.02 | | 2¾ | | | | 2| 1| 7|10| 7| 7| 7| 1| 1| | | 43 | 2.46 | .29 | | 2⅞ | | | 1| | | 7| 3| 7| 9|10| 9| 1| | | 47 | 2.70 | .17 | | 3 | | | | 2| 1|12|14|11|17|11| 3| | | | 71 | 2.49 | .51 | | 3⅛ | | | | | | | | | 2| 5| 1| 2| | | 10 | 3.07 | .05 | | 3¼ | | | | | | | | | 1| 2| | 1| 2| | 6 | 3.17 | .08 | | 3⅜ | | | | | | | | 2| 1| 3| 2| | | | 8 | 2.91 | .46 | | +--+--+--+--+--+--+--+--+--+--+--+--+--+--+-----+------+--------+ |Totals | | | | | | | | | | | | | | | | | | | or | | | | | | | | | | | | | | | | | | |means, | | | | | | | | | | | | | | | | | | | 2.73| 1| 2| 5| 8|20|51|46|47|66|63|21| 6| 4| 1| 341 | 2.51 | .22 | +--------+--+--+--+--+--+--+--+--+--+--+--+--+--+--+-----+------+--------+

TABLE 4.—Classification of offspring, generation 4, plus selection series.

+--------+---------------------------------------+-----------------------+ | Grade | Grade of offspring. |Totals. | | of +--+--+--+--+--+--+--+--+--+---+--+--+--+ Means. | |parents.| ¾| 1|1¼|1½|1¾| 2|2¼|2½|2¾| 3 |3¼|3½|3¾| Regression.| +--------+--+--+--+--+--+--+--+--+--+---+--+--+--+-----+------+----------+ | 2½ | | | | | 2| | 2| | 4| 3| | | | 11 | 2.55 | .05 | | 2⅝ | | | | | | | | | | | | | | | | | | 2¾ | | | | | | 3| 3| 2| 3| 4| 3| | | 18 | 2.65 | .10 | | 2⅞ | | 1| | | | | 3| 3| 7| 15| 4| 3| 2| 37 | 2.97 | .10 | | 3 | | 1| | 1| 7|12|25|19|35| 29| 9| 4| 1| 143 | 2.60 | .40 | | 3⅛ | | | 1| | 2|11|14|21|28| 30|11| 2| 2| 122 | 2.69 | .43 | | 3¼ | | | | 1| | 1| 6| 8|13| 17| 9| 8| 1| 64 | 2.89 | .36 | | 3⅜ | | | | | 1| | 6| 2| 3| 9| 2| | | 23 | 2.70 | .67 | | 3½ | | | | | | 3| 1| | 2| 3| 6| 2| 3| 20 | 3.02 | .48 | | 3⅝ | | | | | | | | | | | | | | | | | | 3¾ | | | | | | | | 3| 1| 1| 1| | | 6 | 2.75 | 1.00 | | +--+--+--+--+--+--+--+--+--+---+--+--+--+-----+------+----------+ |Totals | | | | | | | | | | | | | | | | | | or | | | | | | | | | | | | | | | | | |means, | | | | | | | | | | | | | | | | | | 3.09| 1| 1| 1| 2|12|30|60|58|96|110|45|19| 9| 444 | 2.73 | .36 | +--------+--+--+--+--+--+--+--+--+--+---+--+--+--+-----+------+----------+

TABLE 5.—Classification of generation 5, plus selection series.

+--------+-----------------------------------------------+ | Grade | Grade of offspring. | | of +--+--+--+--+--+--+--+--+---+---+---+--+--+--+--+ |parents.| ¾| 1|1¼|1½|1¾| 2|2¼|2½| 2¾| 3 | 3¼|3½|3¾| 4|4¼| +--------+--+--+--+--+--+--+--+--+---+---+---+--+--+--+--+ | 2¾ | | | | | | 1| | | 2| 4| 4| 1| | | | | 2⅞ | | | | | | | 4| 4| 4| 2| 3| 2| 2| | | | 3 | | | | | | | 1| 5| 3| 2| 3| 1| | | | | 3⅛ | | 1| 1| 1| 1| 8| 9|14| 20| 29| 18| 8| 3| 1| | | 3¼ | 1| 1| 1| | 4|12| 6|14| 24| 39| 27| 7| | 1| 1| | 3⅜ | | | | 1| 1| 5|14|11| 25| 36| 28|15| 7| 2| | | 3½ | | | | | | 6| 5|10| 14| 16| 8| 8| 3| | | | 3⅝ | | | | | | 3| 3| 5| 7| 16| 12|11| 4| 3| | | 3¾ | | | | | | | | 2| 2| 4| 3| 2| 1| | | | 3⅞ | | | | | | | 1| 1| | 1| | 1| 2| 2| | | 4 | | | | | | | 1| | | 1| 1| 1| 2| 1| | | 4⅛ | | | | | | 1| | | | 1| | | | 1| | | +--+--+--+--+--+--+--+--+---+---+---+--+--+--+--+ |Totals | | | | | | | | | | | | | | | | | or | | | | | | | | | | | | | | | | |means, | | | | | | | | | | | | | | | | | 3.33| 1| 2| 2| 2| 6|35|44|66|101|151|107|57|24|11| 1| +--------+--+--+--+--+--+--+--+--+---+---+---+--+--+--+--+

+--------+-------+------+-----------+ | Grade | | | | | of |Totals.|Means.|Regression.| |parents.| | | | +--------+-------+------+-----------+ | 2¾ | 12 | 3.00 | -.25 | | 2⅞ | 21 | 2.87 | 0 | | 3 | 15 | 2.81 | .19 | | 3⅛ | 114 | 2.81 | .31 | | 3¼ | 138 | 2.81 | .44 | | 3⅜ | 145 | 2.94 | .43 | | 3½ | 69 | 2.86 | .64 | | 3⅝ | 64 | 3.08 | .54 | | 3¾ | 14 | 3.07 | .68 | | 3⅞ | 8 | 3.35 | .52 | | 4 | 7 | 3.36 | .64 | | 4⅛ | 3 | 3.00 | 1.12 | | +-------+------+-----------+ |Totals | | | | | or | | | | |means, | | | | | 3.33| 610 | 2.90 | .43 | +--------+-------+------+-----------+

TABLE 6.—Classification of generation 6, plus selection series.

+--------+------------------------------------------+--------------------+ | Grade | Grade of offspring. |Totals. | | of +--+--+--+--+--+---+---+---+---+--+--+--+--+ Means. | |parents.|1½|1¾| 2|2¼|2½| 2¾| 3 | 3¼| 3½|3¾| 4|4¼|4½| Regression.| +--------+--+--+--+--+--+---+---+---+---+--+--+--+--+-----+------+-------+ | 3 | | | | | | 1| | | | 1| | | | 2 | | | | 3⅛ | | 3| 4| 1| 1| 4| 7| 5| 3| | | | | 28 | 2.84 | .28 | | 3¼ | 1| | 3| 3| 8| 26| 31| 31| 24|15| 1| | | 143 | 3.10 | .15 | | 3⅜ | 1| | 5| 6|13| 20| 28| 30| 14| 5| | | | 123 | 2.96 | .41 | | 3½ | | 1| 9| 4|15| 29| 49| 41| 43|17| 4| | | 212 | 3.10 | .40 | | 3⅝ | | | 4| 8|11| 24| 34| 36| 37|21| 5| | 1| 181 | 3.16 | .46 | | 3¾ | 1| 1| 2| 1| 3| 4| 18| 13| 20|13| 2| | | 78 | 3.22 | .53 | | 3⅞ | | | 4| 1| 3| 5| 14| 15| 20|14| 4| | | 80 | 3.26 | .61 | | 4 | | | 1| | | | 2| 1| 5| 4| 1| | | 14 | 3.41 | .59 | | +--+--+--+--+--+---+---+---+---+--+--+--+--+-----+------+-------+ |Totals | | | | | | | | | | | | | | | | | | or | | | | | | | | | | | | | | | | | |means, | | | | | | | | | | | | | | | | | | 3.52| 3| 5|32|24|54|113|183|172|166|90|17| | 1| 861 | 3.11 | .41 | +--------+--+--+--+--+--+---+---+---+---+--+--+--+--+-----+------+-------+

TABLE 7.—Classification of generation 7, plus selection series.

+--------+----------------------------------------------+ | Grade | Grade of offspring. | | of +--+--+--+--+--+---+---+---+---+---+--+--+--+--+ |parents.|1½|1¾| 2|2¼|2½| 2¾| 3 | 3¼| 3½| 3¾| 4|4¼|4½|4¾| +--------+--+--+--+--+--+---+---+---+---+---+--+--+--+--+ | 3⅛ | | | 2| 2| 4| 5| 7| 4| 3| 1| | | | | | 3¼ | 1| | 6|11| 7| 11| 30| 19| 22| 23| 1| | | | | 3⅜ | 1| 2|10|18|17| 21| 27| 18| 21| 20| 4| 1| | | | 3½ | | | 6| 9| 9| 21| 31| 28| 35| 34| 3| 1| | | | 3⅝ | | | 7|11|13| 26| 47| 53| 75| 49| 7| 1| | | | 3¾ | | | 2| 3| 3| 16| 28| 25| 58| 42| 4| 3| | | | 3⅞ | | | 2| 1| 2| 4| 10| 12| 23| 21| 6| 6| 2| 1| | 4 | | | | | 1| 1| 3| | 2| 4| 3| | | 1| | 4⅛ | | | | | | | | | 1| 1| 1| | | | | +--+--+--+--+--+---+---+---+---+---+--+--+--+--+ |Totals | | | | | | | | | | | | | | | | or | | | | | | | | | | | | | | | |means, | | | | | | | | | | | | | | | | 3.56| 2| 2|35|55|56|105|183|159|240|195|29|12| 2| 2| +--------+--+--+--+--+--+---+---+---+---+---+--+--+--+--+

+--------+-------+------+-----------+ | Grade | | | | | of |Totals.|Means.|Regression.| |parents.| | | | +--------+-------+------+-----------+ | 3⅛ | 28 | 2.87 | .25 | | 3¼ | 131 | 3.09 | .16 | | 3⅜ | 160 | 2.97 | .40 | | 3½ | 177 | 3.18 | .32 | | 3⅝ | 289 | 3.23 | .39 | | 3¾ | 184 | 3.35 | .40 | | 3⅞ | 90 | 3.49 | .38 | | 4 | 15 | 3.53 | .47 | | 4⅛ | 3 | 3.75 | .50 | | +-------+------+-----------+ |Totals | | | | | or | | | | |means, | | | | | 3.56| 1077 | 3.20 | .36 | +--------+-------+------+-----------+

TABLE 8.—Classification of generation 8, plus series.

+--------+---------------------------------------+-----------------------+ | Grade | Grade of offspring. |Totals. | | of +--+--+--+--+---+---+---+---+--+--+--+--+ Means. | |parents.|1¾| 2|2¼|2½| 2¾| 3 | 3¼| 3½|3¾| 4|4¼|4½| Regression.| +--------+--+--+--+--+---+---+---+---+--+--+--+--+------+------+---------+ | 3¼ | | | | | | 2| | 2| | | | | 4 | 3.25 | 0 | | 3⅜ | | | | | | | | | | | | | | | | | 3½ | | | | 1| 4| 6| 9| 18| 17| 2| 2| | 59 | 3.46 | .04 | | 3⅝ | 1| 2| 9|13|30| 69| 44|144|149|22| 1| | 484 | 3.50 | .12 | | 3¾ | | 2| 1| 9|12| 55| 39|152|173|23| 2| | 469 | 3.49 | .26 | | 3⅞ | | 1| 2| | 4| 23| 18| 98| 69|19| 2| 1| 238 | 3.53 | .34 | | 4 | | | 1| 2| 3| 10| 6| 34| 6| 1| 1| | 64 | 3.31 | .69 | | 4⅛ | | | | | 2| 5| 2| 14| 13|14|10| | 60 | 3.72 | .40 | | 4¼ | | | | | | | 1| 7| 11| 2| 1| | 22 | 3.69 | .56 | | 4⅜ | | | | | | | | | 2| 5| 1| | 8 | 3.96 | .41 | | +--+--+--+--+--+---+---+---+---+--+--+--+------+------+---------+ |Totals | | | | | | | | | | | | | | | | | or | | | | | | | | | | | | | | | | |means, | | | | | | | | | | | | | | | | | 3.75| 1| 5|13|25|55|170|119|469|440|88|20| 1| 1408 | 3.48 | .27 | +--------+--+--+--+--+--+---+---+---+---+--+--+--+------+------+---------+

TABLE 9.—Classification of generation 9, plus series.

+--------+----------------------------------------+----------------------+ | Grade | Grade of offspring. |Totals. | | of +--+--+--+--+--+---+---+---+---+---+--+--+ Means. | |parents.|1¾| 2|2¼|2½|2¾| 3 | 3¼| 3½| 3¾| 4 |4¼|4½| Regression.| +--------+--+--+--+--+--+---+---+---+---+---+--+--+-----+------+---------+ | 3½ | | | | 1| | | 1| 1| 1| | | | 4| 3.25 | .25 | | 3⅝ | | 1| 1| 6|12| 28| 26| 96| 63| 10| 1| | 244| 3.43 | .19 | | 3¾ | 1| 2| 4| 7|19| 45| 50|224|212| 25| 2| | 591| 3.50 | .25 | | 3⅞ | | | | 2| 5| 25| 32|105|177| 64| 8| 6| 424| 3.65 | .22 | | 4 | | | | 1| 2| 5| | 14| 15| 7| | 1| 45| 3.57 | .43 | | 4⅛ | | | | | | 2| | | 4| 1| | | 7| 3.57 | .55 | | 4¼ | | | | | | | 1| | 1| 2| | | 4| 3.75 | .50 | | 4⅜ | | | | | | | | 3| | | | | 3| 3.50 | .87 | | +--+--+--+--+--+---+---+---+---+---+--+--+-----+------+---------+ |Totals | | | | | | | | | | | | | | | | | or | | | | | | | | | | | | | | | | |means, | | | | | | | | | | | | | | | | | 3.78| 1| 3| 5|17|38|105|110|443|473|109|11| 7| 1322| 3.54 | .24 | +--------+--+--+--+--+--+---+---+---+---+---+--+--+-----+------+---------+

TABLE 10.—Classification of generation 10, plus series.

+--------+-----------------------------------+-------+------+-----------+ | Grade | Grade of offspring. | | | | | of +--+--+--+--+--+---+---+---+--+--+--+Totals.|Means.|Regression.| |parents.|2¼|2½|2¾| 3|3¼| 3½| 3¾| 4 |4¼|4½| 5| | | | +--------+--+--+--+--+--+---+---+---+--+--+--+-------+------+-----------+ | 3¾ | | 1| 1| 9|13| 63|117| 44| 8| 1| | 257 | 3.69 | .06 | | 3⅞ | 1| | 3| 3|16| 95|142| 62|20| 5| | 347 | 3.72 | .15 | | 4 | | | | | 4| 26| 61| 20| 7| 2| | 120 | 3.76 | .24 | | 4⅛ | | | | | | 11| 17| 7| 6| 1| 2| 44 | 3.87 | .25 | | 4¼ | | | | | | 1| 4| 2| 1| | | 8 | 3.84 | .41 | | +--+--+--+--+--+---+---+---+--+--+--+-------+------+-----------+ |Totals | | | | | | | | | | | | | | | | or | | | | | | | | | | | | | | | |means, | | | | | | | | | | | | | | | | 3.88| 1| 1| 4|12|33|196|341|135|42| 9| 2| 776 | 3.73 | .15 | +--------+--+--+--+--+--+---+---+---+--+--+--+-------+------+-----------+

TABLE 11.—Classification of generation 11, plus series.

+--------+--------------------------------+-------+------+-----------+ | Grade | Grade of offspring. | | | | | of +--+--+--+---+---+---+--+--+--+--+Totals.|Means.|Regression.| |parents.|2¾| 3|3¼| 3½| 3¾| 4 |4¼|4½|4¾| 5| | | | +--------+--+--+--+---+---+---+--+--+--+--+-------+------+-----------+ | 3¾ | | | | 2| 7| 2| | | | | 11 | 3.75 | 0 | | 3⅞ | 2| 7|17| 87|162| 41|11| 3| 3| | 333 | 3.70 | .17 | | 4 | | 3| 2| 25| 87| 65|24| 6| 1| 1| 214 | 3.87 | .13 | | 4⅛ | | 3| 3| 16| 49| 27| 8| 2| 2| | 110 | 3.81 | .31 | | 4¼ | | | | 2| 13| 5| 3| 1| 1| | 25 | 3.91 | .34 | | 4⅜ | | | | | 1| 3| | | | | 4 | 3.94 | .43 | | +--+--+--+---+---+---+--+--+--+--+-------+------+-----------+ |Totals | | | | | | | | | | | | | | | or | | | | | | | | | | | | | | |means, | | | | | | | | | | | | | | | 3.97| 2|13|22|132|319|143|46|12| 7| 1| 697 | 3.78 | .19 | +--------+--+--+--+---+---+---+--+--+--+--+-------+------+-----------+

TABLE 12.—Classification of generation 12, plus series.

+--------+----------------------------------+-------+------+-----------+ | Grade | Grade of offspring. | | | | | of +--+--+--+--+---+---+--+--+--+--+--+Totals.|Means.|Regression.| |parents.|2½| 3|3¼|3½| 3¾| 4 |4¼|4½|4¾| 5|5¼| | | | +--------+--+--+--+--+---+---+--+--+--+--+--+-------+------+-----------+ | 3¾ | | | | | 4| 20| 7| 4| | | | 35 | 3.83 | -.08 | | 3⅞ | | | | 2| 19| 17| 6| 2| 2| | | 48 | 3.96 | .09 | | 4 | | 1| 1|10| 53| 59|12| 5| 1| 1| 2| 145 | 3.93 | .07 | | 4⅛ | 1| | 2|17| 86| 83|28| 6| 3| 1| | 227 | 3.91 | .21 | | 4¼ | | 1| | 7| 19| 29|11| 3| 1| | | 71 | 3.94 | .31 | | 4⅜ | | | | 3| 6| 14|10| 7| 3| 1| 1| 45 | 4.13 | .24 | | 4½ | | | | | 1| 4| 1| | | 1| | 7 | 4.14 | .36 | | 4⅝ | | 1| | | 3| 4| 3| | | | | 11 | 3.90 | .72 | | 5 | | | | | | | | | 1| | | 1 | 4.75 | .25 | | +--+--+--+--+---+---+--+--+--+--+--+-------+------+-----------+ |Totals | | | | | | | | | | | | | | | | or | | | | | | | | | | | | | | | |means, | | | | | | | | | | | | | | | | 4.09| 1| 3| 3|43|207|217|75|23|11| 4| 3| 590 | 3.94 | .17 | +--------+--+--+--+--+---+---+--+--+--+--+--+-------+------+-----------+

TABLE 13.—Classification of generation 13, plus selection series.

+--------+-----------------------+-------+------+-----------+ | Grade | Grade of offspring. | | | | | of +--+--+--+--+--+--+--+--+Totals.|Means.|Regression.| |parents.|2¾|3¼|3½|3¾| 4|4¼|4½|4¾| | | | +--------+--+--+--+--+--+--+--+--+-------+------+-----------+ | 4 | | 4|17|23|19| 2| | | 65 | 3.67 | .31 | | 4⅛ | | | 1| 8|16| 5| 1| | 31 | 3.97 | .15 | | 4¼ | 1| | 5|10|20| 6| | 1| 43 | 3.93 | .32 | | 4⅜ | | | 1| 5| 3| 1| | | 10 | 3.85 | .52 | | 4½ | | | 1|14|15| 7| 3| | 40 | 3.98 | .52 | | 4⅝ | | | | 3| 1| | 1| | 5 | 3.95 | .80 | | +--+--+--+--+--+--+--+--+-------+------+-----------+ |Totals | | | | | | | | | | | | | or | | | | | | | | | | | | |means, | | | | | | | | | | | | | 4.22| 1| 4|25|63|74|21| 5| 1| 194 | 3.88 | .34 | +--------+--+--+--+--+--+--+--+--+-------+------+-----------+

TABLE 14.—Summary of the results of thirteen generations of plus selection based on Tables 1-13.

+-------------------------------------------------------------------+ |Generation. | |No. of offspring. | | |Mean, parents. | | | |Mean, offspring. | | | | |Standard deviation, | | | | |parents. | | | | | |Standard deviation, | | | | | |offspring. | | | | | | |Correlation, | | | | | | |parents-offspring. | | | | | | | |Absolute regression of | | | | | | | |offspring on parents. | | | | | | | | |Advance of | | | | | | | | |parents. | | | | | | | | | |Advance of | | | | | | | | | |offspring. +------+------+------+------+------+------+------+-----+-----+------+ | 1 | 150 | 2.51 | 2.05 | .313 | .541 | .298 | .46 | | | | 2 | 471 | 2.52 | 1.92 | .307 | .732 | .317 | .60 | .01 | -.13 | | 3 | 341 | 2.73 | 2.51 | .285 | .531 | .331 | .22 | .21 | .59 | | 4 | 444 | 3.09 | 2.73 | .215 | .468 | .066 | .36 | .36 | .22 | | 5 | 610 | 3.33 | 2.90 | .240 | .505 | .160 | .43 | .24 | .17 | | 6 | 861 | 3.52 | 3.11 | .209 | .490 | .180 | .41 | .19 | .21 | | 7 |1,077 | 3.56 | 3.20 | .212 | .555 | .215 | .36 | .04 | .09 | | 8 |1,408 | 3.75 | 3.48 | .246 | .439 | .099 | .27 | .19 | .28 | | 9 |1,322 | 3.78 | 3.54 | .112 | .346 | .210 | .24 | .03 | .06 | | 10 | 776 | 3.88 | 3.73 | .112 | .362 | .116 | .15 | .10 | .19 | | 11 | 697 | 3.98 | 3.78 | .113 | .289 | .233 | .20 | .10 | .05 | | 12 | 590 | 4.09 | 3.94 | .176 | .302 | .161 | .15 | .11 | .16 | | 13 | 194 | 4.22 | 3.88 | .433 | .270 | .132 | .34 | .13 | -.06 | +------+------+------+------+------+------+------+-----+-----+------+ |Total |8,941 | | | | | | | | | +------+------+------+------+------+------+------+-----+-----+------+

TABLE 15.—Mean grade and number of offspring produced by parents of a particular grade in each generation of the plus selection series, based on Tables 1-13. The grade of the parents is indicated at the head of each column. In the body of the table is recorded the grade of the offspring (in light-faced figures) and the number of offspring (in =heavy-faced figures=).