Statistics Notes: Measurement error proportional to the mean

Measurement error proportional to the mean.

Proton MR spectroscopic imaging (MRSI) metabolite ratios in human brain: calculating repeatability when measurement error is proportional to the mean

Introduction: In vivo proton magnetic resonance spectroscopic imaging (MRSI) has a proven track record as a research tool and shows clinical promise in a range of diseases including brain tumours [1, 2], stroke [3, 4], epilepsy [5, 6] and multiple sclerosis [7, 8]. To enable reliable clinical (diagnostic and longitudinal) use, the repeatability of the technique must be quantified. Whilst studie...

Mean Reverting Measurement Error in Survival Expectations*

Recent literature found that subjective survival expectations in the Health and Retirement Study (HRS) appear to be overly optimistic among older respondents compared to life table values and actual survival rates. This paper argues that a significant portion of this bias is due to measurement error as opposed to biases in survival beliefs. HRS asks about the subjective probability of living ~1...

Notes on Linear Minimum Mean Square Error Estimators

Some connections between linear minimum mean square error estimators, maximum output SNR filters and the least square solutions are presented. The notes have been prepared to be distributed with EE 503 (METU, Electrical Engin.) lecture notes. 1 Linear Minimum Mean Square Error Estimators The following signal model is assumed: r = Hs + v (1) Here r is a N × 1 column vector denoting the observati...

On Presentation a new Estimator for Estimating of Population Mean in the Presence of Measurement error and non-Response

Introduction According to the classic sampling theory, errors that are mainly considered in the estimations are sampling errors.  However, most non-sampling errors are more effective than sampling errors in properties of estimators. This has been confirmed by researchers over the past two decades, especially in relation to non-response errors that are one of the most fundamental non-immolation...