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Measurement Theory Accuracy, Precision, Error, Repeatability, Measurement scale  Gauri S. Shrestha, M.Optom, FIACLE
Introduction ,[object Object],[object Object],[object Object]
Quality of measurement ,[object Object],[object Object],[object Object]
Empirical space Source set  S s i States,  phenomena Reference: [1] Image space Abstract,  well-defined symbols Image set  I i i Transformation
What’s the bottom line ,[object Object],[object Object],[object Object]
Fundamental theory of measurement ,[object Object],[object Object],[object Object],[object Object],[object Object]
Why measuring? ,[object Object],[object Object],[object Object],[object Object],[object Object]
[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Measurement   Scales ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],States are only named NOMINAL States can be ordered ORDINAL Distance is meaningful INTERVAL Abs. zero RATIO Abs. unit ABSOLUTE
Nominal scale ,[object Object],[object Object],[object Object],[object Object]
Ordinal scale ,[object Object],[object Object],[object Object]
Interval ,[object Object],[object Object],[object Object],[object Object],[object Object]
Ratio ,[object Object],[object Object],[object Object]
Log interval ,[object Object],[object Object],[object Object],[object Object],[object Object]
Absolute  ,[object Object],[object Object],[object Object]
Relation Among Measurement Scales  ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object], 
Measurement scale and statistical test ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Measurement scale and statistical test ,[object Object],[object Object]
Measurement scale and statistical test ,[object Object],[object Object]
Validity ,[object Object],[object Object],[object Object]
Measurement Validity ,[object Object],[object Object],[object Object],[object Object],[object Object]
measurement validity--continued ,[object Object],[object Object],[object Object],[object Object],[object Object]
Reliability ,[object Object],[object Object]
Precision ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Accuracy and resolution ,[object Object],[object Object],[object Object]
XXXXXX Low accuracy high precision X X X X X X X X X X medium accuracy low  precision
 
Measurement error-Blunders  ,[object Object],[object Object],[object Object]
Measurement error- constant error ,[object Object],[object Object],[object Object]
Measurement error- systematic error ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Measurement error- instrument error ,[object Object],[object Object],[object Object]
Procedural error ,[object Object],[object Object],[object Object],[object Object]
Personal bias ,[object Object],[object Object],[object Object]
Sensor cross sensitivity errors ,[object Object],[object Object],[object Object]
Measurement error- periodic error ,[object Object],[object Object]
Measurement error- random error ,[object Object],[object Object],[object Object],[object Object],[object Object]
Some more errors ,[object Object],[object Object],[object Object]

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Measurement theory

  • 1. Measurement Theory Accuracy, Precision, Error, Repeatability, Measurement scale Gauri S. Shrestha, M.Optom, FIACLE
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  • 4. Empirical space Source set S s i States, phenomena Reference: [1] Image space Abstract, well-defined symbols Image set I i i Transformation
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  • 26. XXXXXX Low accuracy high precision X X X X X X X X X X medium accuracy low precision
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Editor's Notes

  1. could you compute the mean sex of subjects in your sample? It is possible to compute a mean value, but how meaningful would that be? How would you interpret a mean sex of 1.4? When you are examining a Nominal variable such as sex, it is more appropriate to compute a statistic such as a percentage (60% of the sample was male).
  2. could you compute the mean sex of subjects in your sample? It is possible to compute a mean value, but how meaningful would that be? How would you interpret a mean sex of 1.4? When you are examining a Nominal variable such as sex, it is more appropriate to compute a statistic such as a percentage (60% of the sample was male).
  3. could you compute the mean sex of subjects in your sample? It is possible to compute a mean value, but how meaningful would that be? How would you interpret a mean sex of 1.4? When you are examining a Nominal variable such as sex, it is more appropriate to compute a statistic such as a percentage (60% of the sample was male).