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Bias01:22

Bias

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Bias refers to any tendency that prevents a question from being considered unprejudiced. In research, bias occurs when one outcome or answer is selected or encouraged over others in sampling or testing. Bias can occur during any research phase, including study design, data collection, analysis, and publication.
In statistics, a sampling bias is created when a sample is collected from a population, and some members of the population are not as likely to be chosen as others (remember, each member...
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Uncertainty in Measurement: Accuracy and Precision03:37

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Scientists typically make repeated measurements of a quantity to ensure the quality of their findings and to evaluate both the precision and the accuracy of their results. Measurements are said to be precise if they yield very similar results when repeated in the same manner. A measurement is considered accurate if it yields a result that is very close to the true or the accepted value. Precise values agree with each other; accurate values agree with a true value. 
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Random and Systematic Errors01:20

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Scientists always try their best to record measurements with the utmost accuracy and precision. However, sometimes errors do occur. These errors can be random or systematic. Random errors are observed due to the inconsistency or fluctuation in the measurement process, or variations in the quantity itself that is being measured. Such errors fluctuate from being greater than or less than the true value in repeated measurements. Consider a scientist measuring the length of an earthworm using a...
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Bias in Epidemiological Studies01:29

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Biases can arise at various stages of research, from study design and data collection to analysis and interpretation. Recognizing and addressing these biases is essential to ensure the validity and reliability of epidemiological findings.Broadly speaking, biases in epidemiology fall into three main categories: selection bias, information bias, and confounding. A more detailed description of possible biases is:  
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Regression Toward the Mean01:52

Regression Toward the Mean

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Regression toward the mean (“RTM”) is a phenomenon in which extremely high or low values—for example, and individual’s blood pressure at a particular moment—appear closer to a group’s average upon remeasuring. Although this statistical peculiarity is the result of random error and chance, it has been problematic across various medical, scientific, financial and psychological applications. In particular, RTM, if not taken into account, can interfere when...
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Systematic Error: Methodological and Sampling Errors01:15

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In the case of systematic errors, the sources can be identified, and the errors can be subsequently minimized by addressing these sources. According to the source, systematic errors can be divided into sampling, instrumental, methodological, and personal errors.
Sampling errors originate from improper sampling methods or the wrong sample population. These errors can be minimized by refining the sampling strategy. Defective instruments or faulty calibrations are the sources of instrumental...
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Updated: Dec 21, 2025

Development of an Individual-Tree Basal Area Increment Model using a Linear Mixed-Effects Approach
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Compound Bias due to Measurement Error When Comparing Regression Coefficients.

William M Murrah1

  • 1Auburn University, Auburn, AL, USA.

Educational and Psychological Measurement
|May 20, 2020
PubMed
Summary

Measurement error in predictors biases multiple regression results, inflating Type I errors. This study quantifies these impacts and suggests adjustments for accurate predictor comparison in research.

Keywords:
measurement errormultiple regressionpredictor importancepredictor reliability

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Area of Science:

  • Statistics
  • Biostatistics
  • Psychometrics

Background:

  • Multiple regression is a common tool for comparing predictor importance.
  • Measurement error in predictors can lead to biased coefficients and inflated Type I error rates.
  • Existing literature highlights the general impact of measurement error on regression models.

Purpose of the Study:

  • To explore the specific impact of measurement error on comparing predictors in multiple regression.
  • To quantify the bias and Type I error rates associated with measurement error in predictor variables.
  • To demonstrate methods for adjusting for measurement error in real-world data.

Main Methods:

  • A simulation study was conducted to quantify bias and Type I error rates.
  • The study focused on situations where one predictor is measured with error.
  • Two established methods for adjusting for measurement error were applied and demonstrated.

Main Results:

  • Measurement error significantly biases regression coefficients when comparing predictors.
  • Type I error rates are notably inflated, leading to potentially false conclusions about predictor importance.
  • The simulation results provide quantitative estimates of these detrimental effects under various conditions.

Conclusions:

  • Measurement error poses a critical challenge when using multiple regression to compare predictor importance.
  • Researchers must consider and address measurement error to ensure valid statistical inference.
  • Recommendations are provided for mitigating the impact of measurement error in such analyses.