1. Physical characteristics of women. The study group of women is characterised in Table 1 using descriptive statistics. They are women aged between 16 and 41 years, with a weight between 40 and 90 kg, a height between 150 and 182 cm and a BMI between 15.43 and 34.63. At the time of the study, the sex of the fetus was unknown. After termination of the pregnancy, the patients were divided into two groups according to the characteristics at the time of the ultrasound examination. It turns out that the groups are similar to each other, i.e. the respective statistics do not differ significantly.
Table 1
Physical characteristics of women
Statistics
|
Age (years)
|
Weight (kg)
|
Hight (cm)
|
BMI
|
Male
sex
|
Female
sex
|
Male
sex
|
Female
sex
|
Male
sex
|
Female
sex
|
Male
sex
|
Female
sex
|
Mean
|
26.19
|
26.31
|
61.95
|
64.81
|
165.33
|
167.20
|
22.63
|
23.20
|
St.dev.
|
5.24
|
5.19
|
10.06
|
10.23
|
5.93
|
5.85
|
3.32
|
3.59
|
Min
|
18.0
|
16.0
|
40.0
|
42.0
|
150.0
|
152.0
|
17.58
|
15.43
|
Lower quartile
|
22.0
|
22.0
|
55.0
|
58.0
|
161.0
|
164.0
|
20.20
|
20.80
|
Median
|
26.0
|
26.0
|
61.0
|
63.0
|
165.0
|
168.0
|
22.04
|
22.45
|
Upper quartile
|
29.0
|
31.0
|
68.0
|
72.0
|
170.0
|
170.0
|
24.74
|
24.92
|
Max
|
41.0
|
37.0
|
87.0
|
90.0
|
181.0
|
182.0
|
32.81
|
34.63
|
According to literature reports, fetal sex studies in women with a high BMI may be unreliable. Here, the number of women with a BMI of 25 or more accounted for about ¼ of the total sample population, and a maximum BMI of 34.63 was not an obstacle to the study.
2. Relationship of CRL, FHR, FV, GSV parameters with gestational week of LMP. Based on linear regression models, the effect of LMP gestational week on the values of CRL, FHR, FV and GSV parameters was determined, these relationships are illustrated in Fig. 1. All the correlations turn out to be positive, which means that the parameters CRL, FHR, FV and GSV increase with increasing LMP gestational week. These relationships are shown as linear, as for such a range of LMP variability from week 5 to week 12, the model proved to be the best fit to the empirical data. However, fetuses grew at different rates, so many fetuses deviate in plus or minus to the line of the theoretical relationship. Sometimes the differences are significant.
The rate of fetal growth was divided by sex and LMP range (Table 2) across the range [5–12] and [5–7] and (7–12). This study identifies differences in the growth rates of male and female fetuses before and after week 7 of pregnancy. In the literature, week 7 is indicated as the cut-off point from which the growth rate of male fetuses becomes faster than that of female fetuses, which can provide a basis for gender identification.
In terms of CRL size, a faster growth rate for female fetuses was observed up to week 7, with an average of 0.4489 cm per week, while for male fetuses it was 0.2581 cm per week. However, these results are not significantly different (p = 0.3472). By contrast, after week 7, the situation becomes reversed, with male fetuses growing at an average of 0.8534 cm per week and female fetuses at 0.5433 cm per week, which already proves statistically significant (p = 0.0002).
The strongest FHR growth was observed up to week 7, and after week 7, FHR growth was already slower. Despite quite large differences between male and female fetuses, no statistical difference could be found. Over the entire studied interval [5–12] of the LMP, the average FHR increment for male fetuses was 11.1056 per week and for female fetuses 10.3633 per week, which is not significantly different (p = 0.7497).
The parameter that differs between male and female fetuses turns out to be FV. Up to week 7 of the LMP, the results are almost identical (p = 0.9817), as FV development for male fetuses averaged 0.2400 per week and for female fetuses averaged 0.2447. However, from week 7 to week 12 of pregnancy, FV development of male fetuses averaged 0.9943 per week and FV development of female fetuses averaged 0.6432 per week, which was statistically significantly different (p = 0.0197).
Similar conclusions as for FV can be drawn from the observation of the behavior of GSV according to the week of gestation of the LMP. Up to week 7 of the LMP, the results are not different (p = 0.1042), although the GSV development of male fetuses averaged 7.4414 per week and that of female fetuses averaged 1.9575. The difference, although apparently large, cannot be considered significant due to the significant variation in GSV values within sex. On the other hand, from the 7th to 12th week of gestation, due to the more stable results within the sexes, the GSV development of male fetuses turns out to be close to being considered statistically significantly faster than that of female fetuses (p = 0.0602), it averaged 12.0728 per week and that of female fetuses averaged 7.1019 per week.
Table 2
Tests of significance for differences in growth rates of male and female fetuses
Parametr
|
LMP
|
Gender
|
N
|
Reg. coeff.
|
p-value
|
CRL
|
[5–12)
|
male
|
126
|
0.7616
|
0.0001
|
female
|
99
|
0.5480
|
[5–7]
|
male
|
27
|
0.2581
|
0.3472
|
female
|
30
|
0.4489
|
(7–12)
|
male
|
99
|
0.8534
|
0.0002
|
female
|
69
|
0.5433
|
FHR
|
[5–12)
|
male
|
83
|
11.1056
|
0.7497
|
female
|
62
|
10.3633
|
[5–7]
|
male
|
21
|
12.4835
|
0.3277
|
female
|
27
|
24.8161
|
(7–12)
|
male
|
62
|
7.5176
|
0.4818
|
female
|
35
|
5.1322
|
FV
|
[5–12)
|
male
|
95
|
0.7525
|
0.0165
|
female
|
79
|
0.5168
|
[5–7]
|
male
|
24
|
0.2400
|
0.9817
|
female
|
28
|
0.2447
|
(7–12)
|
male
|
71
|
0.9943
|
0.0197
|
female
|
51
|
0.6432
|
GSV
|
[5–12)
|
male
|
97
|
9.3855
|
0.0458
|
female
|
78
|
6.0262
|
[5–7]
|
male
|
24
|
7.4414
|
0.1042
|
female
|
27
|
1.9575
|
(7–12)
|
male
|
73
|
12.0728
|
0.0602
|
female
|
51
|
7.1019
|
3. Estimating the probability of fetal sex. Greater male fetal growth in the early weeks of pregnancy may be the basis for estimating fetal sex. Based on a logistic regression model, a discussion was undertaken on the possibilities of estimating fetal sex before 12 weeks of gestation based on combinations of (CRL; LMP), (FHR; LMP), (FV; LMP) and (GSV; LMP). The statistics of the models performed are shown in Table 3 and graphically illustrated in Fig. 2.
The models presented concern the estimation of the probability of a male fetus, in particular:
- values above 0.5 indicate higher probability of male sex and lower probability of female sex,
- values below 0.5 indicate a lower probability of male sex and a higher probability of female sex,
- a value of 0.5 indicates an inconclusive situation, 50% probability of the male sex and 50% probability of the female sex,
- a cut-off value of 1 means 100% probability of male sex and 0% probability of female sex,
- a cut-off value of 0 means 0% probability of male sex and 100% probability of female sex.
The statistically best model for estimating the probability of fetal sex concerns the CRL parameter. This model as a whole is statistically significant (p = 0.0029), the effect of the CRL parameter itself is also significant (p = 0.0073). The CRL parameter in this model has the highest odds ratio value of 2.0090. Such high odds ratio parameters are not observed in the other models. This value means that, at a constant LMP, a CRL value of 1 higher results in a 2 times higher probability that the fetus is male.
The model for the GSV parameter is also relatively good. Here, although the model as a whole is not statistically significant (p = 0.1041) and the effect of the GSV parameter is also not significant (p = 0.1061), the significance levels obtained are close to the limit of being considered significant. An odds ratio parameter of 1.0221 means that, at constant LMP, a GSV value greater than 10 results in a 1.24-fold higher probability that the fetus is male.
Models including FHR and FV parameters as a whole are statistically insignificant (p = 0.1060 and p = 0.2847), the effect of FHR and FV parameters on sex alone also proves statistically insignificant (p = 0.4573 and 0.2486).
Table 3
Logistic regression model statistics
N = 225
|
Const. B0
|
LMP
|
CRL
|
|
N = 145
|
Const. B0
|
LMP
|
FHR
|
Chi2( 2) = 11,718 p = 0,0029
|
|
Chi2( 2) = 4,4890 p = 0,1060
|
Estimation
|
1,3326
|
-0,2744
|
0,6977
|
|
Estimation
|
-2,2908
|
0,1889
|
0,0077
|
Std. Error
|
1,2449
|
0,1941
|
0,2576
|
|
Std. Error
|
1,2605
|
0,1835
|
0,0103
|
t(222)
|
1,0705
|
-1,4140
|
2,7088
|
|
t(222)
|
-1,8173
|
1,0292
|
0,7453
|
p
|
0,2856
|
0,1587
|
0,0073
|
|
p
|
0,0713
|
0,3052
|
0,4573
|
Wald Chi2
|
1,1459
|
1,9995
|
7,3377
|
|
Wald Chi2
|
3,3026
|
1,0592
|
0,5555
|
p
|
0,2844
|
0,1574
|
0,0068
|
|
p
|
0,0692
|
0,3034
|
0,4561
|
Odds ratio
|
3,7911
|
0,7600
|
2,0090
|
|
Odds ratio
|
0,1012
|
1,2079
|
1,0077
|
N = 174
|
Const. B0
|
LMP
|
FV
|
|
N = 175
|
Const. B0
|
LMP
|
GSV
|
Chi2( 2) = 2,5126 p = 0,2847
|
|
Chi2( 2) = 4,5258 p = 0,1041
|
Estimation
|
0,0425
|
-0,0013
|
0,2254
|
|
Estimation
|
0,0943
|
-0,0144
|
0,0219
|
Std. Error
|
1,1338
|
0,1542
|
0,1947
|
|
Std. Error
|
1,1370
|
0,1531
|
0,0135
|
t(222)
|
0,0375
|
-0,0086
|
1,1577
|
|
t(222)
|
0,0829
|
-0,0942
|
1,6245
|
p
|
0,9702
|
0,9931
|
0,2486
|
|
p
|
0,9340
|
0,9251
|
0,1061
|
Wald Chi2
|
0,0014
|
0,0001
|
1,3402
|
|
Wald Chi2
|
0,0069
|
0,0089
|
2,6389
|
p
|
0,9701
|
0,9931
|
0,2470
|
|
p
|
0,9339
|
0,9250
|
0,1043
|
Odds ratio
|
1,0434
|
0,9987
|
1,2528
|
|
Odds ratio
|
1,0989
|
0,9857
|
1,0221
|
For models containing the FHR and FV parameters, the graphs shown (Fig. 2) cannot be reliably interpreted, as is evident from the description above. In contrast, models containing the CRL parameters, and to a lesser extent GSV, can be interpreted, as is done below.
From the values of the logistic regression model of the combination of LMP and CRL parameters, it follows that the higher the value of the CRL parameter with a lower value of LMP, the higher the probability that the fetus will be male and the lower the probability that the fetus will be female. Conversely, the lower the value of the CRL parameter with a higher value of the LMP parameter, the less likely the fetus will be male and the more likely the fetus will be female. A line of equal probability connects the points from (LMP = 7;CRL = 0.85) to (LMP = 12; CRL = 2.85). Above this line, there is a higher probability of a male fetus and below this line a female fetus.
In contrast, the model containing the GSV parameter is approximately parallel to the LMP axis, meaning that in gender prediction GSV is independent of LMP, and the higher the GSV the higher the probability of a male fetus regardless of LMP. The line of equal probability runs from (LMP = 5; GSV = 0.5) to (LMP = 12; GSV = 3.8). Above this line a male fetus is more likely and below this line a female fetus is more likely.