Betting Odds & Tips: Canakkale W vs Competitors | Source: Betwhale.com | Date: [Insert Date]</caption[0]: import numpy as np
[1]: import scipy.sparse as sp
[2]: from sklearn.utils.extmath import randomized_svd
[3]: import pandas as pd
[4]: def compute_kernel_matrix(X_train):
[5]: return X_train.dot(X_train.T)
[6]: def compute_similarity_matrix(X_train):
[7]: kernel_matrix = compute_kernel_matrix(X_train)
[8]: norm = np.array([np.sqrt(np.diagonal(kernel_matrix))])
[9]: return kernel_matrix/(norm*norm.T)
[10]: def compute_laplacian_matrix(similarity_matrix):
[11]: degree = np.array(np.sum(similarity_matrix,axis=1)).flatten()
[12]: degree_mat = np.diag(degree)
[13]: return degree_mat – similarity_matrix
[14]: def svd_decomposition(laplacian):
[15]: laplacian = sp.csc_matrix(laplacian)
[16]: u,s,v = randomized_svd(laplacian,n_components=20,n_iter=5,
[17]: random_state=None)
***** Tag Data *****
ID: 1
description: SVD decomposition using randomized SVD method from sklearn.utils.extmath.
start line: 14
end line: 16
dependencies:
– type: Function
name: compute_laplacian_matrix
start line: 10
end line: 13
context description: This snippet performs Singular Value Decomposition on a Laplacian
matrix obtained from another function `compute_laplacian_matrix`. It uses `randomized_svd`
which is less common compared to standard SVD methods.
algorithmic depth: 4
algorithmic depth external: N
obscurity: 3
advanced coding concepts: 4
interesting for students: 5
self contained: Y
*************
## Suggestions for complexity
1. **Dynamic Component Selection**: Modify `randomized_svd` such that it dynamically determines `n_components` based on some criteria derived from properties of `laplacian`, such as eigenvalue distribution.
2. **Custom Random State Generator**: Implement a custom random state generator that uses domain-specific randomness rather than Python’s default RNG.
3. **Error Handling Enhancements**: Add advanced error handling mechanisms that provide detailed diagnostics when SVD fails due to numerical instability or ill-conditioned matrices.
4. **Integration with GPU**: Modify `svd_decomposition` function to offload computation onto GPU using libraries like CuPy instead of NumPy.
5. **Adaptive Iterations**: Implement an adaptive mechanism that adjusts `n_iter` based on convergence criteria during each iteration rather than setting it statically.
## Conversation
: Hi AI assistant I need help understanding this piece of code I have [SNIPPET]
: Sure! This snippet performs Singular Value Decomposition (SVD) on a Laplacian matrix using `randomized_svd`. Here’s what happens step-by-step:
1. Converts the Laplacian matrix into Compressed Sparse Column format using `sp.csc_matrix`.
2. Calls `randomized_svd` function with parameters:
– The sparse matrix (`laplacian`)
– Number of components (`n_components=20`)
– Number of iterations (`n_iter=5`)
– Random state (`random_state=None`)
What specific aspect would you like help with?
1: DOI: 10.1007/s00345-023-04669-y
2: # Association between sex hormone levels before treatment initiation and prostate cancer risk after treatment among patients undergoing active surveillance—a case–control study nested within prospective cohort study data collected at seven academic centers across North America between May 2008–May 2020.
3: Authors: Sarah Enochson-Stumpflechner, Daniel Hsu-Hageboeck, Michael Jarrard, Amy Berrington de Gonzalez-Kosloski, Vasiliki Chrysopoulou-Davies-Schippersma-Schippersma-Van der Poel-McDonald-Turner-Wagner-Peel-Radzyner-Jordan-Kalager-Roberts-Kiviat-Wiltz-Nelson-Lee-McCormack-Owens-Gilbert-Golshan-Baker-Benigni-Freedland-Ashfaq-Heymach-Johnson-Lee-Chapman-Smith-Peterson-Campbell-Zlotta-Harris-Statt-Meyer-Lee-Triantafillou-Feldman-Sharma-D’Amico-Tewari-Hanley-Brown-Efstathiou-Burnett-Parker-Hawkins-Goldstein-Cohen-Kovarik-Feldman-Niederberger-D’Amico-Chapman-Rockhill-Jordan-McCormack-Patel-Owens-Ashfaq-Chang-Cohen-Ashfaq-Johnson-Efstathiou-Roberts-Benigni-Kalager-Van der Poel-Tewari-Brown-Zlotta-Hawkins-Goldstein-Patel-Golshan-Smith-Jordan-Chapman-Campbell-Wiltz-Nelson-D’Amico-Roberts-Freedland-Meyer-Feldman-Smith-Campbell-Chapman-Meyer-Wiltz-Nelson-Van der Poel-Jordan-D’Amico-Brown-Zlotta-Roberts-Kiviat-Lee-Ashfaq-Freedland-Golshan-D’Amico-Smith-Feldman-Van der Poel-Kalager-Jordan-Lee-Nelson-Campbell-Chapman-Zlotta-Brown-Wiltz-Nelson-Ashfaq-Freedland-Johnson-D’Amico-Smith-Meyer-Roberts-Feldman-Campbell-Chapman-Zlotta-Hawkins-Owens-Gilbert-Wiltz-Nelson-Van der Poel-Jordan-Rockhill-Brown-Lee-Efstathiou-Kiviat-Ashfaq-Heymach-Patel-Golshan-Baker-Calais-Johnson-Lee-Smith-Owens-Tewari-Triantafillou-Efstathiou-Patel-Golshan-Calais-Ashfaq-Heymach-Enochson-Stumpflechner-Hsu-Hageboeck-Jarrard-Kosloski-Chrysopoulou-Davies-Schippersma-Schippersma-Van der Poel-McDonald-Turner-Wagner-Peel-Radzyner-Jordan-Kalager-Roberts-Kiviat-Wiltz-Nelson-Lee-McCormack-Owens-Gilbert-Golshan-Baker-Benigni-Freedland-Ashfaq-Heymach-Johnson-Lee-Chapman-Smith-Peterson-Campbell-Zlotta-Harris-Statt-Meyer-Lee-Triantafillou-Feldman-Sharma-D’Amico-Tewari-Hanley-Brown-Efstathiou-Burnett-Parker-Hawkins-Goldstein-Cohen-Kovarik-Feldman-Niederberger-D’Amico-Chapman-Rockhill-Jordan-McCormack-Owens-Ashfaq-Chang-Cohen-Ashfaq-Johnson-Efstathiou-Burnett”, Elizabeth G Schwartzbaum-Stiefelbauer-Levy-Reynolds-Thompson-Utama-Yoon-Reynolds-Thompson-Utama-Yoon-Levy-Reynolds-Thompson-Utama-Yoon-Levy-Reynolds-Thompson-Utama-Yoon-Levy-Reynolds-Thompson-Utama-Yoon-Levy-Reynolds-Thompson-Utama-Yoon-Levy-Reynolds-Thompson-Utama-Yoon-Levy-Reynolds-Thompson-Utama-Yoon-Levy-Reynolds-Thompson-Utama-Yoon-, John R Thompson Jr., Azam Utama Md., Young Min Yoon PhD.
4: Journal: World Journal of Urology
5: Date: 21 November 2023
6: ## Abstract
7: **Purpose:** To investigate whether sex hormone levels measured prior to treatment initiation are associated with risk stratification outcomes among patients undergoing active surveillance.
8: **Methods:** We conducted a case–control study nested within prospective cohort study data collected at seven academic centers across North America between May 2008–May 2020 involving men aged ≥ 18 years diagnosed with low-risk prostate cancer eligible for active surveillance according to institutional guidelines at each site who had baseline blood drawn prior to treatment initiation following initial diagnosis; cases were those who progressed requiring definitive treatment; controls were those who did not progress after at least one year post-diagnosis; we analyzed associations between sex hormones measured prior to treatment initiation—total testosterone (TT), free testosterone (FT), total estradiol (TE), free estradiol (FE), total dihydrotestosterone (TDHT)—and progression requiring definitive treatment using conditional logistic regression models adjusting for age at diagnosis; PSA density; clinical stage; biopsy Gleason score; biopsy core percentage positive; number positive cores; race/ethnicity; family history status; comorbidity index score.
9: **Results:** Of participants included among cases [N = 123] vs controls [N = 165], median age was similar [cases = 63 years old vs controls = 62 years old]; median follow-up time was longer among cases [cases = 32 mo vs controls = 24 mo]; TT levels were higher among cases compared with controls [cases median TT level = 358 vs control median TT level = 333]; FT levels were higher among cases compared with controls [cases median FT level = 41 vs control median FT level = 37]; TE levels were higher among cases compared with controls [cases median TE level = 34 vs control median TE level =30]; FE levels were higher among cases compared with controls [cases median FE level =29 vs control median FE level28]. After adjustment we found no significant association between any hormone tested—TT OR per SD increase log-transformed values(95% CI): OR_{SD} increase log-transformed TT values(95% CI): OR_{SD} increase log-transformed TT values(95% CI): OR_{SD} increase log-transformed TT values(95% CI): OR_{SD} increase log-transformed TT values(95% CI): OR_{SD} increase log-transformed TT values(95% CI): OR_{SD} increase log-transformed TT values(95% CI):OR_{SD} increase log-transformed TT values(95% CI):OR_{SD} increase log-transformed TT values(95% CI):OR_{SD} increase log-transformed TT values(95% CI):OR_{SD} increase log-transformed TT values(95% CI):
10: *Total testosterone*: OR _{SD} increase log transformed total testosterone value(95%CI): *OR* _{SDincreaselogtransformeddihydrotestosteronevalues}(95%C*I)*:* *OR* _{sdincreaselogtransformeddihydrotestosteronevalues}(95%C*I)*:* *OR* _{sdincreaselogtransformeddihydrotestosteronevalues}(95%C*I)*:* *OR* _{sdincreaselogtransformeddihydrotestosteronevalues}(95%C*I)*:* *OR* _{sdincreaselogtransformeddihydrotestosteronevalues}(95%C*I)*:* *OR* _{sdincreaselogtransformeddihydrotestosteronevalues}(95%C*I)*:* *OR* _{sdincreaselogtransformeddihydrotestosteronevalues}(95%C*I)*:* *OR* _{sdincreaselogtransformeddihydrotestosteronevalues}(95%C*I)*:* *OR* _{sdincreaselogtransformeddihydrotestosteronevalues}(95%C*I)*:*
11: ${{text{Cases}mspace{6mu}}left(text{n}mspace{6mu},,text{x}mspace{6mu},,left(%right)mspace{6mu},,{text{Controls}mspace{6mu}}left(text{n}mspace{6mu},,text{x}mspace{6mu},,left(%right)right)}{left({{text{x}mspace{6mu}} + text{s}text{x}} right){mspace{6mu}text{i}}{mspace{6mu}text{ncluding}}{mspace{6mu}text{s}}{mspace{6mu}text{o}}{mspace{6mu}text{l}}{mspace{6mu}text{i}}{mspace{6mu}text{n}}{mspace{6mu}{({missing})}}}.]
12 : ${{Total}{estradiol}:}{quad OR}_{SD}{Increase}{LogTransformed}{Total}{Estradiol}{Values}$ ${{(99CI)}:quad OR}_{SD}{Increase}{LogTransformed}{Free}{Estradiol}{Values}$ ${(99CI)}:quad OR}_{SD}$ ${IncreaseLogTransformedFreeDihydroTestosteroneValues}$ ${(99CI)}:quad OR}_{SD}$ ${IncreaseLogTransformedFreeDihydroTestosteroneValues}$ ${(99CI)}:quad OR}_{SD}$ ${IncreaseLogTransformedFreeDihydroTestosteroneValues}$ ${(99CI)}:quad OR}_{SD}$ ${IncreaseLogTransformedFreeDihydroTestosteroneValues}$ ${(99CI)}:quad OR}_{SD}$ ${IncreaseLogTransformedFreeDihydroTestosteroneValues}$ ${(99CI)}:quad OR}_{SD}$ ${IncreaseLogTransformedFreeDihydroTestosteroneValues}$ ${(99CI)}:quad$
13 : ${{Freeestradiol}:}{quad OR}_{sdincreaselogtransfomedfreeestradiolvales{(99ci)}}$ :
14 : ${{FreediHydroTestosteron}:}{quad ORO}_{sdincreaselogtransfomedfreediHydroTestosteronvales{(99ci)}}$ :
15 : ${{Totaldihyrdrotesterone}:ORO}_{sdincreaselogtransfomedtotaldHydroTestosteronvales{(99ci)}}$ :
16:
17:
18:
19:
20:
21:
22:
23:
24:
25:]
26:]
27:]
28:]
29:]
30:]
31:]
32:].
33].
34].
35].
36].
37].
38].
39].
40] respectively.
41**Conclusion:** In this study we did not find any significant association between sex hormones measured prior to treatment initiation—total testosterone(TT); free testosterone(FT); total estradiol(TE); free estradiol(FE); total dihydrotestosterone(TDHT)—and progression requiring definitive treatment following initial diagnosis among men undergoing active surveillance following low-risk prostate cancer diagnosis.
42**Supplementary Information:** The online version contains supplementary material available at https://doi.org/10.1007/s00345-023-04669-y.
43 ### Supplementary Information
44 Online Resource Supporting Information Table A Comparison Between Cases Versus Controls Among Sex Hormones Measured Prior To Treatment Initiation Total Testostrone Median(SD)(Range)(Missing)nCases(n,x(%))(x+sx including missing)nControls(n,x(%))(x+sx including missing)nCases(n,x(%))(x+sx including missing)nControls(n,x(%))(x+sx including missing)nCases(n,x(%))(x+sx including missing)nControls(n,x(%))(x+sx including missing)nCases(n,x(%))(x+sx including missing)nControls(n,x(%))(x+sx including missing)nCases(n,x(%))(x+sx including missing)nControls(n,x(%))(x+sx including missing)xincludingmissing$xincludingmissing$xincludingmissing$xincludingmissing$xincludingmissing$xincludingmissing$xincludingmissing$
45 | | Total testostrone | Free testostrone | Total estradiol | Free estradiol | Total dihydrotesterone |
46: | — | — | — | — | — | — |
47: | Median(SD)(Range)(Missing) n Cases(x%, x + sx including missings n Controls(x%, x + sx including missings n Cases(x%, x + sx including missings n Controls(x%, x + sx including missings n Cases(x%, x + sx including missings n Controls(x%, x + sx including missings n Cases(x%, x + sx including missings n Controls(x%, x + sx including missings |
48:: |
49**Table A Continued**
50:: |
51:-continued
52:-continued
53:-continued
54:-continued
55:-continued
56:-continued
57:-continued
58:-continued |
59:: |
60**Figures**
61 Fig A Forest plot depicting association between sex hormones measured prior to treatment initiation—total testosterone(TT); free testosterone(FT); total estradiol(TE); free estradiol(FE); total dihydrotestosterone(TDHT)—and progression requiring definitive treatment following initial diagnosis among men undergoing active surveillance following low-risk prostate cancer diagnosis Adjusting For Age At Diagnosis PSA Density Clinical Stage Biopsy Gleason Score Biopsy Core Percentage Positive Number Positive Cores Race/Ethnicity Family History Status Comorbidity Index Score Abbreviations T_ T_ T_ T_ T_ T_ T_ T_ T_ T_ T_ SD Standard Deviation Log Log Log Log Log Log Log Log Log Log Logistic Regression Model Models Models Models Models Models Models Models Models Model Model Model Model Model Model Model Model Model Logistic Regression Analysis Analysis Analysis Analysis Analysis Analysis Analysis Analysis Analysis Analysis Analysis Analyses Analyses Analyses Analyses Analyses Analyses Analyses Analyses Analyses Logistic Regression Results Results Results Results Results Results Results Results Results Results Results Results Stratified Stratified Stratified Stratified Stratified Stratified Stratified Stratified Stratified Stratified Stratified By By By By By By By By By By Age Age Age Age Age Age Age At At At At At At At Diagnosis Diagnosis Diagnosis Diagnosis Diagnosis Diagnosis Diagnosis Adjustment Adjustment Adjustment Adjustment Adjustment Adjustment Adjustment Adjustment Adjustment Adjustments Adjustments Adjustments Adjustments Adjustments Adjustments Adjustments Adjustments Adjustments Adjustments Subgroup Subgroup Subgroup Subgroup Subgroup Subgroup Subgroup Subgroup Subgroup Subgroup Subgroups Groups Group Group Group Group Group Group Group Group Group Group Groups Unadjusted Unadjusted Unadjusted Unadjusted Unadjusted Unadjusted Unadjusted Unadjusted Unadjusted Unadjusted Overall Overall Overall Overall Overall Overall Overall Overall Overall Overall Overall Totals Totals Totals Totals Totals Totals Totals Totals Totals Total Testostrone Free Testostrone Total Estradoiol Free Estradoiol Total Dhytrotesterone Free Dhytrotesterone All All All All All All All All All All Values Values Values Values Values Values Values Values Values SD Increase Increase Increase Increase Increase Increase Increase Increase SD Increase SD Increase SD Increase SD Increase SD Increase SD Increase SD Increases Increases Increases Increases Increases Increases Increases Increases Increases Increases Inclusive Inclusive Inclusive Inclusive Inclusive Inclusive Inclusive Inclusive Or Odds Ratio Odds Ratio Odds Ratio Odds Ratio Odds Ratio Odds Ratio Odds Ratio Odds Ratio Odds Ratio Odds Ratios Ratios Ratios Ratios Ratios Ratios Ratios Ratios Ratios Ratios Per Per Per Per Per Per Per Per Per Percent Percent Percent Percent Percent Percent Percent Percent Percent Confidence Confidence Confidence Confidence Confidence Confidence Confidence Confidence Confidence Interval Interval Interval Interval Interval Interval Interval Interval Interval Upper Upper Upper Upper Upper Upper Upper Upper Upper Lower Lower Lower Lower Lower Lower Lower Lower Limit Limit Limit Limit Limit Limit Limit Limit Estimate Estimate Estimate Estimate Estimate Estimate Estimate Estimate Point Point Point Point Point Point Point Point Estimator Estimator Estimator Estimator Estimator Estimator Estimator Estimator Estimates Estimates Estimates Estimates Estimates Estimates Estimates Estimates And And And And And And And And And And p-value p-value p-value p-value p-value p-value p-value p-value p-value p-value P-values P-values P-values P-values P-values P-values P-values P-values P-values For For For For For For For For For For Each Each Each Each Each Each Each Each Each Sex Hormones Sex Hormones Sex Hormones Sex Hormones Sex Hormones Tested Tested Tested Tested Tested Tested Tested Tested Test Statistic Statistic Statistic Statistic Statistic Statistic Statistic Statistic Wald Wald Wald Wald Wald Wald Wald Wald Wald Z Z Z Z Z Z Z Z Value Value Value Value Value Value Value Value SE SE SE SE SE SE SE SE Standard Standard Standard Standard Standard Standard Standard Standard Error Error Error Error Error Error Error Error Error Significance Significance Significance Significance Significance Significance Significance Significance Significance Level Level Level Level Level Level Level Level Level Levels Levels Levels Levels Levels Levels Levels Levels Levels Two Two Two Two Two Two Two Two Sided One-sided One-sided One-sided One-sided One-sided One-sided One-sided One-sided Sided Sided Tests Tests Tests Tests Tests Tests Tests Tests Less Less Less Less Less Less Less Less Than Than Than Than Than Than Than Than Equal Equal Equal Equal Equal Equal Equal Equal Zero Zero Zero Zero Zero Zero Zero Greater Greater Greater Greater Greater Greater Greater Zero Non-zero Non-zero Non-zero Non-zero Non-zero Non-zero Non-zero Non-zero Direction Direction Direction Direction Direction Direction Direction Direction Of Effect Of Effect Of Effect Of Effect Of Effect Of Effect Of Effect Positive Positive Positive Positive Positive Positive Positive Negative Negative Negative Negative Negative Negative Negative Significant Significant Significant Significant Significant Significant Significant Not Not Not Not Not Not Not Not Significant Significant Differences Differences Differences Differences Differences Differences Differences Differences Differences Between Between Between Between Between Between Between Treatement Treatement Treatement Treatement Treatement Treatement Arms Arms Arms Arms Arms Arms Arms Control Control Control Control Control Control Control Case Case Case Case Case Case Case Outcome Outcome Outcome Outcome Outcome Outcome Outcome Event Event Event Event Event Event Event Rate Rate Rate Rate Rate Rate Rate Risk Risk Risk Risk Risk Risk Relative Relative Relative Relative Relative Relative Relative Difference Difference Difference Difference Difference Difference Difference Exponentiated Exponentiated Exponentiated Exponentiated Exponentiated Exponentiated Exponentiated Exponentiated Exponentiated Exponentiated Coefficient Coefficient Coefficient Coefficient Coefficient Coefficient Coefficient Coefficient Coefficient Exp(Beta)s Exp(Beta)s Exp(Beta)s Exp(Beta)s Exp(Beta)s Exp(Beta)s Exp(Beta)s Exp(Beta)s Exp(Beta)s Beta Beta Beta Beta Beta Beta Beta Beta Covariance Covariance Covariance Covariance Covariance Covariance Variance Variance Variance Variance Variance Variance Correlation Correlation Correlation Correlation Correlation Correlation Corr(Corr(Corr(Corr(Corr(Corr(Corr(Corr(Corr(
64 Fig B Forest plot depicting association between sex hormones measured prior to treatment initiation—total testosterone(TT); free testosterone(FT); total estradiol(TE); free estradiol(FE); total dihydrotestosterone(TDHT)—and progression requiring definitive treatment following initial diagnosis among men undergoing active surveillance following low-risk prostate cancer diagnosis Adjusting For Age At Diagnosis PSA Density Clinical Stage Biopsy Gleason Score Biopsy Core Percentage Positive Number Positive Cores Race/Ethnicity Family History Status Comorbidity Index Score Abbreviations T_T_T_T_T_T_T_T_T_T_T_SDStandardDeviationLogLogLogLogLogLogLogLogLogLogLogLinearRegressionModelModelsModelsModelsModelsModelsModelsModelsModelsModelModelModelModelModelModelModelModelModelLinearRegressionAnalysisAnalysisAnalysisAnalysisAnalysisAnalysisAnalysisAnalysisAnalysisAnalysisAnalysisAnalysesAnalysesAnalysesAnalysesAnalysesAnalysesAnalysesAnalysesStratifiedStratifiedStratifiedStratifiedStratifiedStratifiedStratifiedByByByByByByByAgeAtDiagnosisAdjustmentAdjustmentAdjustmentAdjustmentAdjustmentAdjustmentAdjustmentAdjustmentAdjustedAdjustedAdjustedAdjustedAdjustedAdjustedAdjustedAdjustedAdjustedAdjustedOverallOverallOverallOverallOverallOverallOverallAllAllAllAllAllAllAllAllAllTotalTestostroneFreeTestostroneTotalEstradoilFreeEstradoilTotalDhytrotesteroneFreeDhytrotesteroneValuesValuesValuesValuesValuesValuesValuesValuesSESESESEStandardStandardStandardStandardStandardStandardStandardErrorErrorErrorEstimateEstimateEstimateEstimateEstimateEstimateEstimatePointPointPointPointPointPointPointPointWaldWaldWaldWaldZValueZValueZValueZSignificanceSignificancesignificancesignificancesignificancesignificancesignificancesignificancesignificantsignificantsignificantsignificantsignificantsignificantsignificantLevelLevelsLevelsLevelsLevelsLevelsTwoTwoTwoTwoSidedOne-sidedsidedsidedsidedsidedsidedDirectionOfEffectOfEffectOfEffectOfEffectPositivePositivePositiveNegativeNegativeNonzeroNonzeroNonzeroNonzeroNonzeroNonzeroDifferenceDifferenceExpoentialedExpoentialedExpoentialedExpoentialedExpoentialedExpoentialedExpoentialedCoefficientCoefficientCoefficientCoefficientBetaBetaBetaBetaBetaBetaCovarianceVarianceCorr(Corr(
65 Fig C Forest plot depicting association between sex hormones measured prior to treatment initiation—total testosterone(TT); free testosterone(FT); total estradiol(TE); free estradiol(FE); total dihydrotestosterone(TDHT)—and progression requiring definitive treatment following initial diagnosis among men undergoing active surveillance following low-risk prostate cancer diagnosis Adjusting For Age At Diagnosis PSA Density Clinical Stage Biopsy Gleason Score Biopsy Core Percentage Positive Number Positive Cores Race/Ethnicity Family History Status Comorbidity Index Score Abbreviations T_T_T_T_T_SDStandardDeviationExp(Log(Log(Log(Log(Log(Log(Log(Log(Log(Log(LogisticalRegressionRegressionRegressionRegressionRegressionRegressionRegressionRegressionRegressionRegressionRegressionRegressionRegressionRegressionRegressionRegressionRegressionRegressionRegessionregressionregressionregressionregressionregressionregressionregressionsanalysisanalysisanalysisanalysisanalysisanalysisanalysisanalysistratisratedbybybybybybybybyagediagnosisadjustmentadjustmentadjustmentadjustmentadjustmentadjustmentadjustmentunivariateunivariateunivariateunivariateunivariateunivariateoveralloverallallallallallallallsdsdsdsdsdsdsdsoddsoddsoddsoddsodddsodddsodddsorororororsratioratoratoratoratoratoratorsratioperpercentpercentpercentpercentpercentpercentpercentconfidencconfidenceconfidenceconfidenceconfidenceconfidenceconfidenceconfidenceintervalintervallestellestellestellestellestellestellestellellowerupperlimitlimitlimitlimitlimitlimitlimitestimateestimatpointpointpointpointpointpointpointwaldwaldwaldwaldzvaluezsignificantsignificantssignificantssignificantssignificantssignificantssiglevellevelslevelslevelslevelsleveltwo-twosidednonzerononzerosignedsignedsignedsignedsignedsigneddifferenceexponientialexponientialexp(beta)betaexp(beta)betalog(log(log(log(log(log(log(
66 Fig D Forest plot depicting association between sex hormones measured prior to treatment initiation—total testosterone(TT); free testosterone(FT); total estradiol(TE); free estradiol(FE); total dihydrotestosterone(TDHT)—and progression requiring definitive treatment following initial diagnosis among men undergoing active surveillance following low-risk prostate cancer diagnosis adjusting for age at diagnosis psa density clinical stage biopsy gleason score biopsy core percentage positive number positive cores race ethnicity family history status comorbidity index score abbreviations t_t_t_t_t_sdstandarddeviationexp(exp(exp(exp(exp(exp(exp(exp(exp(exp(exp(logisticalregressionalgorithmalgorithmalgorithmalgorithmalgorithmalgorithmalgorithmalgorithmalgorthogonalorthogonalorthogonalorthogonalorthogonalorthogonalmultivariablemultivariablemultivariablemultivariablemultivariablemultivariablemodelsmodelmodelmodelmodelmodelmodelmodelsmodelsmodelsmodelsmodelsmodelsmodelsmodelsmodelsmodelsmodelsmodelsmodelsubgroupsubgroupsubgroupsubgroupsubgroupsubgroupsubgroupsubgroupsubgroupssubgrupbysitebysitebysitebysitebysiteoveralloverallallsitesitesitesitesitesallallsitedsitesitedsitecsitcsitcsitcsitcsitcsitcsitedsitesitesitesitedsitesitedsitefsfsfsfsfsfsfsfsfsfsmcmcmcmcmcmcmcmcmcmmmcmmmcmmmcmmmcmmmcmmmcmmcmeuwmeuwmeuwmeuwmeuwmeuwmeuwmeuwpspspspspspspspspspspssubsurbsurbsurbsurbsurbsurbsurbsurbsurbsuburbsuburbsuburbsuburbsuburbsuburbsuburb
