"by odds" is a correct and usable phrase in written English.
You can use it to refer to a situation either in favor or against something, as in this example sentence: "I'm certain we can win the game by odds."
Lost, as Simon Schama has justly lamented, is the "long arc of time", to be replaced by odds and sods.
A potential Saturday evening humdinger and those who like a punt will surely be tempted by odds of 7-2 against a Palace victory.
The colour of his silks will remain irrelevant to anyone tempted by odds of 16-1 for the Investec Derby, so long as his trainer remains the same.
Figure 3 Funnel plot of SE by odds ratio.
Relative risks were approximated by odds ratios and calculated by logistic regression.
Results of multivariate regression test were expressed by odds ratio (95% confidence interval).
Both these equivalences continue to hold with probabilities replaced by odds.
The strength of association between MTHFR C677T polymorphism and POAG was measured by odds ratios (ORs) and 95% confidence intervals (CIs).
Association was presented by odds ratios by taking 95% confidence intervals (CI) and p values less than 0.05 were taken as statistically significant.
Proportions were compared by odds ratios controlling for the effects of sex, age, education, and level of nicotine dependence by logistic regression.
These are complemented by odds ratios and their 95% CI afterwards obtained from an ordinary multivariable logistic regression model using the same variables.
