Fecundability and Sterility by Age: Estimates Using Time to Pregnancy Data of Japanese Couples Trying to Conceive Their First Child with and without Fertility Treatment
Abstract
:1. Introduction
2. Materials and Methods
2.1. Data
2.2. Statistical Analyses
2.3. Maximum Likelihood Method
2.4. Sensitivity Analysis
3. Results
4. Discussion
5. Conclusions
Supplementary Materials
Author Contributions
Funding
Institutional Review Board Statement
Informed Consent Statement
Data Availability Statement
Conflicts of Interest
Appendix A. Detailed Description About the Maximum Likelihood Method
Appendix A.1. One-Parameter Model
Appendix A.2. Two-Parameter Model
Appendix A.3. Three-Parameter Model
Appendix A.4. Maximum Likelihood Estimate
Appendix A.4.1. Two-Parameter Models
Appendix A.4.2. Three-Parameter Models
TTP-All | |||||
---|---|---|---|---|---|
Fecundability, Mean (Variance) | |||||
Age (y) Group | n | Two-Parameter Models | One-Parameter Models | ||
All | 1264 | 0.13 (0.01) | 0.07 (0.00) | ||
24 or younger | 91 | 0.21 (0.03) | 0.11 (0.00) | ||
25–29 | 561 | 0.14 (0.01) | 0.09 (0.00) | ||
30–34 | 417 | 0.12 (0.01) | 0.06 (0.00) | ||
35–39 | 174 | 0.09 (0.01) | 0.04 (0.00) | ||
40+ | 21 | 0.02 (0.00) | 0.01 (0.00) | ||
Maximum Log-Likelihood | |||||
Age (y) Group | n | Two-Parameter Models (a) | One-Parameter Models (b) | 2{(a)–(b)} | p-Value |
All | 1264 | −3350.67 | −3498.01 | 294.69 | 0.000 |
24 or younger | 91 | −239.40 | −252.39 | 25.98 | 0.000 |
25–29 | 561 | −1507.31 | −1555.25 | 95.88 | 0.000 |
30–34 | 417 | −1111.52 | −1162.00 | 100.96 | 0.000 |
35–39 | 174 | −427.49 | −444.62 | 34.26 | 0.000 |
40+ | 21 | −22.62 | −22.73 | 0.21 | 0.646 |
TTP-Natural | |||||
Fecundability, Mean (Variance) | |||||
Age (y) Group | n | Two-Parameter Models | One-Parameter Models | ||
All | 1264 | 0.13 (0.02) | 0.07 (0.00) | ||
24 or younger | 91 | 0.21 (0.02) | 0.12 (0.00) | ||
25–29 | 561 | 0.14 (0.01) | 0.09 (0.00) | ||
30–34 | 417 | 0.13 (0.02) | 0.06 (0.00) | ||
35–39 | 174 | 0.10 (0.02) | 0.04 (0.00) | ||
40+ | 21 | 0.02 (0.00) | 0.01 (0.00) | ||
Maximum Log-Likelihood | |||||
Age (y) Group | n | Two-Parameter Models (c) | One-Parameter Models (d) | 2{(c)–(d)} | p-Value |
All | 1264 | −2870.59 | −3000.66 | 260.14 | 0.000 |
24 or younger | 91 | −234.63 | −246.43 | 23.61 | 0.000 |
25–29 | 561 | −1346.07 | −1382.87 | 73.60 | 0.000 |
30–34 | 417 | −907.64 | −966.84 | 118.39 | 0.000 |
35–39 | 174 | −323.91 | −339.84 | 31.86 | 0.000 |
40+ | 21 | −15.67 | −15.70 | 0.06 | 0.813 |
TTP-All | ||||
---|---|---|---|---|
Maximum Log-Likelihood | ||||
Age (y) Group | Three-Parameter Models (a) | Two-Parameter Models (b) | 2{(a)–(b)} | p-Value |
All | −3350.60 | −3350.67 | 0.14 | 0.710 |
24 or younger | −239.30 | −239.40 | 0.21 | 0.648 |
25–29 | −1507.04 | −1507.31 | 0.54 | 0.463 |
30–34 | −1111.52 | −1111.52 | −0.01 | 1.000 |
35–39 | −427.49 | −427.49 | 0.00 | 1.000 |
40+ | −22.63 | −22.62 | 0.00 | 1.000 |
TTP-Natural | ||||
Maximum Log-Likelihood | ||||
Age (y) Group | Three-Parameter Models (c) | Two-Parameter Models (d) | 2{(c)–(d)} | p-Value |
All | −2865.78 | −2870.59 | 9.64 | 0.002 |
24 or younger | −234.51 | −234.63 | 0.24 | 0.625 |
25–29 | −1344.58 | −1346.07 | 2.99 | 0.084 |
30–34 | −904.84 | −907.64 | 5.61 | 0.018 |
35–39 | −323.55 | −323.91 | 0.72 | 0.398 |
40+ | −15.67 | −15.67 | 0.00 | 1.000 |
Parameters | Fecundability | |||||||
---|---|---|---|---|---|---|---|---|
Age (y) Group | n | First Quartile | Median | Third Quartile | Mean | Variance | ||
All | 525 | 0.82 | 4.87 | 0.04 | 0.10 | 0.21 | 0.14 | 0.02 |
24 or younger | 31 | 0.93 | 2.16 | 0.11 | 0.25 | 0.45 | 0.30 | 0.05 |
25–29 | 223 | 1.65 | 10.25 | 0.06 | 0.12 | 0.19 | 0.14 | 0.01 |
30–34 | 183 | 0.77 | 4.44 | 0.04 | 0.10 | 0.22 | 0.15 | 0.02 |
35–39 | 76 | 0.26 | 1.87 | 0.00 | 0.03 | 0.17 | 0.12 | 0.03 |
40+ | 12 | 1.19 | 147.43 | 0.00 | 0.01 | 0.01 | 0.01 | 0.00 |
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Age (y) Group | Participants | All Conceptions | Natural Conceptions | TTP-All (Month) | TTP-Natural (Month) |
---|---|---|---|---|---|
All | 1264 | 952 | 834 | 10.3 (12.9) | 8.2 (10.4) |
24 or younger | 91 | 81 | 80 | 6.8 (9.7) | 6.5 (9.0) |
25–29 | 561 | 456 | 415 | 8.5 (11.2) | 7.0 (9.2) |
30–34 | 417 | 304 | 253 | 11.6 (14.0) | 9.5 (11.9) |
35–39 | 174 | 107 | 83 | 13.7 (15.0) | 9.8 (10.3) |
40+ | 21 | 4 | 3 | 19.7 (12.8) | 8.9 (7.9) |
TTP-All | ||||||||
---|---|---|---|---|---|---|---|---|
Parameters | Fecundability | |||||||
Age (y) Group | n | First Quartile | Median | Third Quartile | Mean | Variance | ||
All ages | 1264 | 0.94 | 6.22 | 0.04 | 0.10 | 0.19 | 0.13 | 0.01 |
24 or younger | 91 | 1.21 | 4.48 | 0.09 | 0.18 | 0.31 | 0.21 | 0.03 |
25–29 | 561 | 1.44 | 8.76 | 0.06 | 0.12 | 0.20 | 0.14 | 0.01 |
30–34 | 417 | 0.82 | 5.91 | 0.03 | 0.09 | 0.18 | 0.12 | 0.01 |
35–39 | 174 | 0.61 | 5.98 | 0.02 | 0.05 | 0.13 | 0.09 | 0.01 |
40+ | 21 | 0.24 | 15.47 | 0.00 | 0.00 | 0.02 | 0.02 | 0.00 |
TTP-Natural | ||||||||
Parameters | Fecundability | |||||||
Age (y) Group | n | First Quartile | Median | Third Quartile | Mean | Variance | ||
All ages | 1264 | 0.84 | 5.44 | 0.04 | 0.10 | 0.19 | 0.13 | 0.02 |
24 or younger | 91 | 1.24 | 4.60 | 0.09 | 0.18 | 0.30 | 0.21 | 0.02 |
25–29 | 561 | 1.46 | 8.87 | 0.06 | 0.12 | 0.20 | 0.14 | 0.01 |
30–34 | 417 | 0.58 | 3.90 | 0.02 | 0.08 | 0.19 | 0.13 | 0.02 |
35–39 | 174 | 0.42 | 3.87 | 0.01 | 0.04 | 0.14 | 0.10 | 0.02 |
40+ | 21 | 0.31 | 15.23 | 0.00 | 0.01 | 0.02 | 0.02 | 0.00 |
TTP-All | |||||||
---|---|---|---|---|---|---|---|
Parameters | Fecundability | ||||||
Age (y) Group | n | q (Sterile) | First Quartile | Median | Third Quartile | ||
All ages | 1264 | 1.01 | 6.60 | 0.02 | 0.04 | 0.10 | 0.19 |
24 or younger | 91 | 1.60 | 5.92 | 0.03 | 0.10 | 0.18 | 0.29 |
25–29 | 561 | 1.74 | 10.47 | 0.02 | 0.07 | 0.12 | 0.19 |
30–34 | 417 | 0.82 | 5.90 | 0.00 | 0.03 | 0.09 | 0.18 |
35–39 | 174 | 0.61 | 5.97 | 0.00 | 0.02 | 0.05 | 0.13 |
40+ | 21 | 0.29 | 20.22 | 0.00 | 0.00 | 0.00 | 0.02 |
TTP-Natural | |||||||
Parameters | Fecundability | ||||||
Age (y) Group | n | q (Sterile) | First Quartile | Median | Third Quartile | ||
All ages | 1264 | 1.88 | 10.73 | 0.14 | 0.05 | 0.11 | 0.19 |
24 or younger | 91 | 1.72 | 6.35 | 0.04 | 0.10 | 0.18 | 0.29 |
25–29 | 561 | 2.58 | 15.08 | 0.06 | 0.07 | 0.13 | 0.19 |
30–34 | 417 | 1.75 | 9.40 | 0.22 | 0.02 | 0.10 | 0.19 |
35–39 | 174 | 1.31 | 8.64 | 0.30 | 0.00 | 0.06 | 0.15 |
40+ | 21 | 0.31 | 15.21 | 0.00 | 0.00 | 0.01 | 0.02 |
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Konishi, S.; Kariya, F.; Hamasaki, K.; Takayasu, L.; Ohtsuki, H. Fecundability and Sterility by Age: Estimates Using Time to Pregnancy Data of Japanese Couples Trying to Conceive Their First Child with and without Fertility Treatment. Int. J. Environ. Res. Public Health 2021, 18, 5486. https://doi.org/10.3390/ijerph18105486
Konishi S, Kariya F, Hamasaki K, Takayasu L, Ohtsuki H. Fecundability and Sterility by Age: Estimates Using Time to Pregnancy Data of Japanese Couples Trying to Conceive Their First Child with and without Fertility Treatment. International Journal of Environmental Research and Public Health. 2021; 18(10):5486. https://doi.org/10.3390/ijerph18105486
Chicago/Turabian StyleKonishi, Shoko, Fumiko Kariya, Kisuke Hamasaki, Lena Takayasu, and Hisashi Ohtsuki. 2021. "Fecundability and Sterility by Age: Estimates Using Time to Pregnancy Data of Japanese Couples Trying to Conceive Their First Child with and without Fertility Treatment" International Journal of Environmental Research and Public Health 18, no. 10: 5486. https://doi.org/10.3390/ijerph18105486
APA StyleKonishi, S., Kariya, F., Hamasaki, K., Takayasu, L., & Ohtsuki, H. (2021). Fecundability and Sterility by Age: Estimates Using Time to Pregnancy Data of Japanese Couples Trying to Conceive Their First Child with and without Fertility Treatment. International Journal of Environmental Research and Public Health, 18(10), 5486. https://doi.org/10.3390/ijerph18105486