for all animals indicated that weight accounted for
more than 27 percent of the variation in price.
Similar analyses showed that weight accounted for
nearly 33 percent of the variation in price when steers
and heifers were considered separately (Table 1). The
linear effect of weight on price for all animals was a
decline in price of $3.70 per hundredweight for each
100-pound increase in liveweight. Similar effects for
steer and heifer prices were $4.30 and $3.30 per
hundredweight, respectively.
The analysis of seasonal price patterns indicated
that animals in the 150- to 800-pound weight range
could be combined into six weight groups. The six
weight groups that resulted from significant
Table 1. LINEAR REGRESSION OF WEIGHT ON PRICE FOR ALL ANIMALS, STEERS, AND HEIFERS,
FOUR LOUISIANA AUCTION MARKETS, JUNE 28,1970, THROUGH JUNE 27,1972
Sex |
Number of |
____ ____Statistical measure____________ | |||
a |
b |
t |
R? | ||
All animals 1/ |
158,192 |
49.99 |
-.036842 |
-244.31* |
.2739* |
Heifers |
41,655 |
46.24 |
-.033131 |
-143.15* |
.3297* |
Steers |
73,937 |
54.30 |
-.042784 |
-189.50* |
.3289* |
*Significant at the .0001 probability level.
ɪ Includes 42,600 animals for which sex was not determined.
Table 2. ANALYSIS OF CO VARIANCE OF SELECTED FACTORS AFFECTING PRICE OF STEERS AND
HEIFERS FOR SIX WEIGHT GROUPS, FOUR LOUISIANA AUCTION MARKETS, JUNE 28,
1970, THROUGH JUNE 27,1972
Statistical measure
Source of |
d.f. |
b |
S.S. |
M.S. |
F |
Weight |
1 |
-0.043 |
1,564.03 |
1,564.03 |
81.42** |
Auction |
3 |
3,566.73 |
1,188.91 |
61.89** | |
Sex |
1 |
8,369.16 |
8,369.16 |
435.63** | |
Weight group |
5 |
2,562.68 |
512.54 |
26.68** | |
A-WG |
15 |
1,587.46 |
105.83 |
5.51** | |
A-Sex |
3 |
693.90 |
231.30 |
12.04** | |
Sex-WG |
5 |
1,175.89 |
235.18 |
12.24** | |
A-Sex-WG |
15 |
567.99 |
37.87 |
1.97* | |
Error |
3935 |
75,597.80 |
19.21 | ||
Total |
3983 |
189,145.79 |
* .014 level of significance
** .0001 level of significance
161