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On the predictability of future impact in science
Orion Penner1, Raj K Pan, Alexander M Petersen
11] Laboratory of Innovation Management and Economics, IMT Institute for Advanced Studies Lucca, 55100 Lucca, Italy [2].
Predicting scientist impact using linear regression models is flawed. These models overestimate predictive power due to autocorrelation and are inaccurate for early-career researchers, questioning their use in hiring.
Area of Science:
- Bibliometrics
- Scientometrics
- Research Evaluation
Background:
- Assessing scientist research impact is crucial for recruitment and evaluations.
- Current methods primarily focus on past performance, not future potential.
- Linear regression models have been proposed for predicting future scientific impact.
Purpose of the Study:
- To critically evaluate the accuracy of linear regression models for predicting scientist future impact.
- To identify limitations and potential biases in current predictive models.
- To assess the suitability of these models for academic recruitment and evaluation.
Main Methods:
- Analysis of 762 scientist careers across physics, biology, and mathematics.
- Application of linear regression models to quantify research impact.
- Examination of model performance across different career stages.
Main Results:
- Cumulative, non-decreasing measures like the h-index exhibit intrinsic autocorrelation.
- This autocorrelation leads to a significant overestimation of predictive power.
- Model accuracy is heavily dependent on researcher career age, with poor performance for early-career scientists.
Conclusions:
- Current linear regression models for predicting scientist impact have critical flaws.
- The overestimation of predictive power and age-dependency raise doubts about their reliability.
- Further research is needed before these models can be responsibly used in recruitment decisions.
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However, the point estimate is most likely not the exact value of the population parameter, but close to it. After calculating point estimates, we construct interval estimates, called confidence intervals or prediction intervals. This prediction interval comprises a range of values unlike the point estimate and is a better predictor of the observed sample value, y.

