Lesson 2: Errors and Statistics Flashcards
Process of determining the extent, size, or
dimensions of a particular quantity in
comparison to a given standard.
Measurement
Consists of several physical operations
which renders a numerical value.
Measurement
Maybe direct or indirect
Measurement
It entails the entire process of
obtaining a desired quantity, including
preparations (instrument calibration and
setup), pointing, matching, and comparing.
Measurement
is a single, unadjusted
determination of a linear or angular value.
Observation
Measurements are numerical values for
random variables which are subject to
statistical fluctuations.
Variability in Repeated
Measurements
An inherent quality of physical properties.
Variability in Repeated
Measurements
Statistical variations due to observational
errors.
Variability in Repeated
Measurements
difference between the measured or
calculated value of a quantity and given or
established (“true”) value of that quantity.
Error
the negative of error.
Correction
Sources of Errors
- Natural Errors
- Instrumental Errors
- Personal Errors
caused by variations in
the phenomena of nature, such as
changes in magnetic declination,
temperature, etc.
Natural Errors
due to imperfections in the instruments used.
Instrumental Errors
arise principally from
the limitations of the senses of sight,
touch, and hearing of the observer.
Personal Errors
Types of Errors
- Mistakes or Blunders
- Systematic or Cumulative Errors
- Random or Accidental Errors
Mistakes or Blunders
- Actually not errors because they are
usually so gross in magnitude compared to
to the other types of errors. - One of the most common reasons is
simple carelessness on the part of the
observer. - An observation with a mistake is not
useful unless the mistake is removed.
Common Mistakes or Blunders
- Reading the wrong graduation on the tape.
- Omitting a whole length of tape.
- Transposition of figures.
- Misplacing a decimal point.
- Incorrect recording of field notes.
- Sighting the wrong target.
So-called because they occur according to
some deterministic system, which, when
known, can be expressed by some
functional relationship.
Systematic or Cumulative Errors
Caused by physical and natural conditions
that vary in accordance with known
mathematical or physical laws.
Systematic or Cumulative Errors
Types Systematic Error
- Constant Error
- Counteracting
if its magnitude and sign
remains the same throughout the
measuring process or field conditions are
unchanged.
Constant Error
if its sign changes while its
magnitude remains the same.
– due to the personal bias of the observer.
Counteracting