A new estimator for information dimension with standard errors and confidence intervals

Effective communication of standard errors and confidence intervals.

When reporting estimates and associated standard errors (ses) or confidence intervals (CIs), the standard formats, “estimate (se)” and “estimate (95% CI: [lower, upper]),” can be confusing in text; in tables they hinder comparisons. Furthermore, some readers can misinterpret the CI format as indicating equal support for all reported values. To remedy these deficits, we recommend formats that (1...

Variance Estimation and Construction of Confidence Intervals for GEE Estimator

Calculating Approximate Standard Errors and Confidence Intervals for Current Population Survey Estimates

Approximate standard errors and confidence intervals for CPS estimates can be calculated using instructions in this document and the parameter and factor tables (PF-1 through PF-16) available online at https://www.bls.gov/cps/parameters-and-factors-for-calculating-standard-errors.xlsx. (These tables mirror tables A-1 through A-16 of the monthly Employment Situation news release.) The parameter ...

Standard Errors and Confidence Intervals in Inverse Problems: Sensitivity and Associated Pitfalls

We review the asymptotic theory for standard errors in classical ordinary least squares (OLS) inverse or parameter estimation problems involving general nonlinear dynamical systems where sensitivity matrices can be used to compute the asymptotic covariance matrices. We discuss possible pitfalls in computing standard errors in regions of low parameter sensitivity and/or near a steady state solut...

Comparing treatment means: overlapping standard errors, overlapping confidence intervals, and tests of hypothesis

Little3 provided a conceptual history of significance tests and Stephens et al.4 documented its prevalence in ecology and evolution. Salsburg5 wrote that, ‘. . . hypothesis testing has become the most widely used statistical tool in scientific research,’ and Lehmann6 suggested that t and F tests of hypotheses ‘today still constitute the bread and butter of much of statistical practice.’ Critici...