2017
DOI: 10.1111/anzs.12200
|View full text |Cite
|
Sign up to set email alerts
|

Interval estimation for the breakpoint in segmented regression: a smoothed score‐based approach

Abstract: Summary This paper is concerned with interval estimation for the breakpoint parameter in segmented regression. We present score‐type confidence intervals derived from the score statistic itself and from the recently proposed gradient statistic. Due to lack of regularity conditions of the score, non‐smoothness and non‐monotonicity, naive application of the score‐based statistics is unfeasible and we propose to exploit the smoothed score obtained via induced smoothing. We compare our proposals with the tradition… Show more

Help me understand this report

Search citation statements

Order By: Relevance

Paper Sections

Select...
1
1
1
1

Citation Types

3
181
0

Year Published

2019
2019
2024
2024

Publication Types

Select...
7
2

Relationship

0
9

Authors

Journals

citations
Cited by 239 publications
(184 citation statements)
references
References 36 publications
3
181
0
Order By: Relevance
“…Calculations were performed using R version 3.6.1 (R Core Team, 2019). For the entire time series, a segmented Poisson regression model (SEG) allowing for over dispersion (Wood, 2006) was fitted to daily mortality with daily mean temperature as predictor and day-of-week as only covariate using the R package segmented (Muggeo, 2003(Muggeo, , 2008a(Muggeo, , 2017. Estimates and SE were provided for MMT and for the cold and heat slope parameters.…”
Section: Model Calculationsmentioning
confidence: 99%
See 1 more Smart Citation
“…Calculations were performed using R version 3.6.1 (R Core Team, 2019). For the entire time series, a segmented Poisson regression model (SEG) allowing for over dispersion (Wood, 2006) was fitted to daily mortality with daily mean temperature as predictor and day-of-week as only covariate using the R package segmented (Muggeo, 2003(Muggeo, , 2008a(Muggeo, , 2017. Estimates and SE were provided for MMT and for the cold and heat slope parameters.…”
Section: Model Calculationsmentioning
confidence: 99%
“…There are several approaches to calculate MMT from temperature-mortality time-series data and different methods have been used in the studies mentioned above. One simple statistical model predicting the logarithm of the death counts by actual temperature is the segmented Poisson regression model (SEG) providing estimates of the breakpoint (MMT) as well as of the negative temperature slope in the cold and positive slope in the heat, while accounting for covariates, e.g., day of week (Muggeo, 2003(Muggeo, , 2008a(Muggeo, , 2017. Only focusing on the temperature influence on the same day, SEG neglects the time series structure, and especially does not consider lagged effects of temperature on mortality.…”
Section: Introductionmentioning
confidence: 99%
“…Using R, log likelihood was calculated for a linear regression model and a segmented threshold model from 'segmented' package (Muggeo, 2017), P value was calculated using the likelihood ratio test (LRT) with a χ2 distribution. For comparison, the set of all 519 JASPAR motifs, or the 349 JASPR motifs corresponding to ESC expressed TFs were used to identify the number of TFBS in each sequence and the relationship to flanking H3K27ac ( Figure S4).…”
Section: Tfbs Conservation and Enrichment Analysismentioning
confidence: 99%
“…before or after the observed break in species prevalence through time. The break in species prevalence occurring around the year 2000 was inferred after regression species prevalence upon the year, using the segmented package (Muggeo, 2017). This strategy was chosen to account for the temporal trends in species prevalence and abundance; more complex mixed models including year as a random effect did not provide precise year effect estimates and were faced with convergence issues when combined with a negative binomial link function.…”
Section: Methodsmentioning
confidence: 99%