To develop the population for this study, crosses
were made between the soybean genotypes BR 90-4722 and FT-Cristalina.
These genotypes are, respectively, resistant and susceptible to SCN,
race 3 (Arantes, 1997). Part of the resulting F_{1} seeds were kept in a cold room and part was used to obtain the F_{2} seeds. Parents (resistant and susceptible) along with their F_{1} and F_{2}
generations were sowed in boxes containing sterilized sand as a
substrate. When the seedlings had completely expanded cotyledonar
leaves, they were transferred to three-liter pots containing a 2:1
soil:sand mixture previously sterilized.

The inoculum of *H. glycines*
(race 3) was obtained from fields infested with SCN, race 3, in the
county of Iraí de Minas. The race of the nematode was confirmed through
tests in differential soybean cultivars performed according to
suggestions of Arantes (1997). Thirty-five-day-old plants were
collected from these fields and the females were extracted from the
roots and macerated in a system of sieves. Two days after transferring
the seedlings to the pots, the inoculation was made using a suspension
containing approximately 11,000 eggs and juveniles. The number of eggs
and second stage juveniles was obtained by counting them on a Peters
plate under an optical microscope.

The
suspension was applied near the stem of each seedling. Plants were
irrigated after the inoculation to avoid the drying out of the
nematodes. To evaluate the degree of resistance of each individual, the
plants were carefully taken from the pots 34 days later, and the number
of females and cysts present in the roots of the parental, F_{1} and F_{2} generations was obtained by counting them.

To
study the genetics of the resistance of the population to SCN, the
number of cysts found on each plant of each generation was first
considered. The means, standard errors, variances and expected values
for the generations F_{1} and F_{2} were estimated according to the procedures employed by Mauro *et al.* (1995). Thus, the means, the variances and the standard errors for each generation were estimated as follows: means = µ = ∑fixi/∑fi; variances =** σ**^{2} = (∑fixi^{2} - ∑fiµ^{2})/∑fi; standard error = (**σ**/n)^{1/2}; where: fi = frequencies; xi = observed values and n = number of individuals.

The expected means (E) for the generations F_{1} and F_{2}, considering an additive model, were estimated as follows: E(F_{1}) = (µP_{1} + µP_{2})/2; E(F_{2}) = [F_{1} + E(F_{1})]/2. These estimates were compared with the observed values for each generation through the *t*-test
for independent samples with unequal variances, as proposed by Snedecor
and Cochran (1989). Comparisons between the observed values for the F_{1} and F_{2} generations and between the F_{1} and the resistant parent were also performed. To verify the significance of these comparisons, the calculated *t* was obtained as follow where _{µ1} and µ_{2} = observed and expected means; and = estimated variances, and n_{1} and n_{2}
= size of the samples. The number of degrees of freedom associated with
each one of the comparisons was obtained through the expression: where v_{1} = n_{1} - 1 and v_{2} = n_{2} -1; V_{1} = /n_{1} and V_{2} =/n_{2}.

The
number of genes related to the resistance of the population to the SCN,
race 3, was determined by using the following expression: where n* = *number of genes related to the character; µP_{1 }= mean for parent 1; µP_{2}= mean for parent 2; = variance for the generation F_{1} and s_{F2} = variance for the generation F_{2}.
The heritability for the resistance to SCN in the same population was
also estimated, being used the methodology proposed by Mahmud and
Kramer (1951). This methodology estimates the heritability in the broad
sense, which is given by: where:_{ } = variance for parent 1;_{}= variance for parent; 2 = variance for generation F_{1}, and = variance for generation F_{2}.

To
study the type of gene action and to confirm the number of genes
related to the resistance of the population to SCN, a chi-square test,
as described by Snedecor and Cochran (1989), was performed. The
calculated value for the chi-square test was given by:
**α**^{2} = ∑[(o - e)^{2} / e], where o and e are, respectively, the observed and the expected frequencies. For this analysis, plants from the parents, F_{1}
and segregant population were classified according to their reaction to
the inoculation with SCN, using the rating system proposed by Hartwig
(1985), as follows: 0 - absence of females and cysts; 1 - from 1 to 5
females and cysts; 2 - from 6 to 10 females and cysts; 3 - from 11 to
20 females and cysts; 4 - more than 20 females and cysts. Plants scored
from 2 to 4 were considered as susceptible and the cultivar
FT-Cristalina was used as a standard of susceptibility, since according
to Arantes (1997) it can substitute Lee 68, with the advantage of being
a Brazilian soybean cultivar.