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Dataplot Vol 1 Auxiliary Chapter

SUPPORTED STATISTICS

This section provides a list of the statistics that are currently available in Dataplot.

The calculation of individual statistics is done via subcommands under the LET command, as in

    LET A = MEAN X
    LET B = STANDARD DEVIATION Y
    LET C = CORRELATION X Y

Statistics are computed on either a single response variable or on two response variables (never parameters or functions) and the computed statistic is always stored in a parameter (never a variable or function).

The usefulness of these built-in statistics is increased by the fact that these statistics can be used in the following commands:

  1. LET A = <stat>
  2. <stat> STATISTIC PLOT
  3. CROSS TABULATE <stat> STATISTIC PLOT
  4. FLUCTUATION PLOT <stat>
  5. <stat> BLOCK PLOT
  6. BOOTSTRAP <stat> PLOT
  7. JACKNIFE <stat> PLOT
  8. DEX <stat> PLOT
  9. <stat> INFLUENCE CURVE
  10. TABULATE <stat>
  11. CROSS TABULATE <stat>
  12. LET V = MATRIX COLUMN <stat>
  13. LET V = MATRIX ROW <stat>
  14. LET A = MATRIX GRAND <stat>
  15. LET M = MATRIX PARTITION <stat>
  16. LET V = CROSS TABULATE <stat>
  17. LET V = SORT BY <stat>
  18. LET V = MOVING <stat>

When new statistics are added to Dataplot, they will be listed here rather than in the separate documentation for each of the above commands.

Some of the above commands only support the case where the statistic is computed from a single response variable.

The available statistical subcommands are (for the specifics of a given statistic, enter HELP <stat> where <stat> denotes one of the statistics given here)--

Case 1: One Response Variable

Location Statistics:

  • BIWEIGHT LOCATION
  • GEOMETRIC MEAN
  • <H10/H12/H15/H17/H20> LOCATION
  • HARMONIC MEAN
  • HODGES-LEHMAN
  • LP LOCATION
  • MEAN
  • MEDIAN
  • MIDMEAN
  • MIDRANGE
  • SD OF LP LOCATION
  • SD OF THE MEAN
  • TRIMMED MEAN
  • TRIMMED MEAN STAN ERROR
  • VARIANCE OF THE MEAN
  • VARIANCE OF LP LOCATION
  • WINSORIZED MEAN

Scale Statistics:

  • AVERAGE ABSOLUTE DEVIATION
  • BIWEIGHT MIDVARIANCE
  • BIWEIGHT SCALE
  • COEFFICIENT OF VARIATION
  • GEOMETRIC SD
  • <H10/H12/H15/H17/H20> SCALE
  • INTERQUARTILE RANGE
  • MEDIAN ABSOLUTE DEVIATION
  • PERCENTAGE BEND MIDVARIANCE
  • QN
  • RANGE
  • RELATIVE STANDARD DEVIATION
  • RELATIVE VARIANCE
  • ROOT MEAN SQUARE ERROR
  • SN
  • STANDARD DEVIATION
  • TRIMMED SD
  • VARIANCE
  • WINSORIZED SD
  • WINSORIZED VARIANCE

Higher Moments:

  • KURTOSIS
  • SKEWNESS

Percentile Statistics:

  • ___ DECILE
  • EXTREME
  • INDEX EXTREME
  • INDEX MAXIMUM
  • INDEX MINIMUM
  • LOWER HINGE
  • LOWER QUARTILE
  • MINIMUM
  • MAXIMUM
  • PERCENTILE
  • QUANTILE
  • QUANTILE STANDARD ERROR
  • UPPER HINGE
  • UPPER QUARTILE

Time Series Statistics:

  • AUTOCORRELATION
  • AUTOCOVARIANCE
  • SIN AMPLITUDE
  • SIN FREQUENCY

Quality Control Statistics:

  • CC
  • CNPK
  • CP
  • CPL
  • CPK
  • CPM
  • CPU
  • EXPECTED LOSS
  • PERCENT DEFECTIVE
  • SN+
  • SN-
  • SN0
  • SN00

Statistical Tests:

  • BINOMIAL PROPORTION
  • BINOMIAL RATIO
  • CHI-SQUARE SD TEST
  • CHI-SQUARE SD TEST CDF
  • DIXON TEST
  • DIXON MAXIMUM TEST
  • DIXON MINIMUM TEST
  • EXTREME STUDENTIZED DEVIATE TEST
  • FREQUENCY TEST
  • FREQUENCY TEST CDF
  • FREQUENCY WITHIN A BLOCK TEST
  • FREQUENCY WITHIN A BLOCK TEST CDF
  • GRUBB
  • GRUBB CDF
  • GRUBB DIRECTION
  • GRUBB INDEX
  • ONE SAMPLE T-TEST
  • ONE SAMPLE T-TEST CDF
  • ONE SIDED LOWER AGRESTI-COUL
  • ONE SIDED UPPER AGRESTI-COUL
  • ONE SIDED LOWER EXACT BINOMIAL
  • ONE SIDED UPPER EXACT BINOMIAL
  • TIETJEN-MOORE TEST
  • TIETJEN-MOORE MAXIMUM TEST
  • TIETJEN-MOORE MINIMUM TEST
  • TWO SIDED LOWER AGRESTI-COUL
  • TWO SIDED UPPER AGRESTI-COUL
  • TWO SIDED LOWER EXACT BINOMIAL
  • TWO SIDED UPPER EXACT BINOMIAL

Distribution:

  • NORMAL PPCC
  • UNIFORM PPCC

Miscellaneous:

  • COMMON DIGITS
  • INTEGRAL
  • NUMBER OF COMMON DIGITS
  • PRODUCT
  • SIZE (or NUMBER)
  • SUM

Case 2: Two Response Variables

Consensus Means:
  • DERSIMONIAN LAIRD
  • DERSIMONIAN LAIRD STANDARD ERROR
  • DERSIMONIAN LAIRD HHD
  • DERSIMONIAN LAIRD MINMAX
  • MANDEL PAULE
  • MANDEL PAULE STANDARD ERROR
  • MODIFIED MANDEL PAULE
  • MODIFIED MANDEL PAULE STANDARD ERROR
  • VANGEL RUKHIN
  • VANGEL RUKHIN STANDARD ERROR
  • GENERALIZED CONFIDENCE INTERVAL
  • GENERALIZED CONFIDENCE INTERVAL STANDARD ERROR
  • BOB
  • BOB STANDARD ERROR
  • BCP
  • BCP STANDARD ERROR
  • MEAN OF MEANS
  • MEAN OF MEANS STANDARD ERROR
  • FAIRWEATHER
  • FAIRWEATHER STANDARD ERROR
  • SCHILLER-EBERHARDT
  • SCHILLER-EBERHARDT STANDARD ERROR
  • GRAYBILL DEAL
  • GRAYBILL DEAL SINHA STANDARD ERROR
  • GRAYBILL DEAL NAIVE STANDARD ERROR
  • GRAYBILL DEAL ZHANG ONE STANDARD ERROR
  • GRAYBILL DEAL ZHANG TWO STANDARD ERROR
Difference of Location:
  • DIFFERENCE OF BIWEIGHT LOCATION
  • DIFFERENCE OF GEOMETRIC MEANS
  • DIFFERENCE OF <H10/H12/H15/H17/H20> LOCATION
  • DIFFERENCE OF HARMONIC MEANS
  • DIFFERENCE OF HODGES-LEHMAN
  • DIFFERENCE OF LP LOCATION
  • DIFFERENCE OF MEANS
  • DIFFERENCE OF MEDIANS
  • DIFFERENCE OF MIDMEANS
  • DIFFERENCE OF SD OF LP LOCATION
  • DIFFERENCE OF TRIMMED MEANS
  • DIFFERENCE OF VARIANCE OF LP LOCATION
  • DIFFERENCE OF WINSORIZED MEANS

Difference of Scale:

  • DIFFERENCE OF AAD
  • DIFFERENCE OF BIWEIGHT MIDVARIANCE
  • DIFFERENCE OF BIWEIGHT SCALE
  • DIFFERENCE OF COEFFICIENT OF VARIATION
  • DIFFERENCE OF EXTREMES
  • DIFFERENCE OF GEOMETRIC SD
  • DIFFERENCE OF <H10/H12/H15/H17/H20> SCALE
  • DIFFERENCE OF INTERQUARTILE RANGE
  • DIFFERENCE OF KURTOSIS
  • DIFFERENCE OF MAD
  • DIFFERENCE OF MAXIMUM
  • DIFFERENCE OF MIDRANGE
  • DIFFERENCE OF MINIMUM
  • DIFFERENCE OF PERCENTAGE BEND
  • DIFFERENCE OF QN
  • DIFFERENCE OF QUANTILE
  • DIFFERENCE OF RANGE
  • DIFFERENCE OF RELATIVE VARIANCE
  • DIFFERENCE OF SKEWNESS
  • DIFFERENCE OF SN
  • DIFFERENCE OF STANDARD DEVIATIONS
  • DIFFERENCE OF VARIANCES
  • DIFFERENCE OF WINSORIZED SD
  • DIFFERENCE OF WINSORIZED VARIANCE
  • DIFFERENCE OF RELATIVE SD
  • DIFFERENCE OF SD OF LP LOCATION
  • DIFFERENCE OF SD OF MEAN
  • DIFFERENCE OF VARIANCE OF LP LOCATION
  • DIFFERENCE OF VARIANCE OF THE MEAN

Weighted Statistics:


    WEIGHTED MEAN
    WEIGHTED STANDARD DEVIATION
    WEIGHTED TRIMMED MEAN
    WEIGHTED VARIANCE

Co-Relation:

  • BIWEIGHT MIDCORRELATION
  • BIWEIGHT MIDCOVARIANCE
  • COMOVEMENT
  • CORRELATION
  • COVARIANCE
  • KENDELLS TAU
  • PERCENTAGE BEND CORRELATION
  • RANK COMOVEMENT
  • RANK CORRELATION
  • RANK COVARIANCE
  • WINSORIZED CORRELATION
  • WINSORIZED COVARIANCE

Regression/Fitting:

  • LINEAR CORRELATION
  • LINEAR INTERCEPT
  • LINEAR INTERCEPT SD
  • LINEAR RESSD
  • LINEAR SLOPE
  • LINEAR SLOPE SD
  • REPEATABILITY SD
  • REPRODUCABILITY SD

Categorical Data:

  • CRAMER CONTINGENCY COEFFICIENT
  • FALSE NEGATIVE
  • FALSE POSITIVE
  • LOG ODDS RATIO (BIAS CORRECTED LOG ODDS RATIO)
  • NEGATIVE PREDICTIVE VALUE
  • ODDS RATIO (BIAS CORRECTED ODDS RATIO)
  • PEARSON CONTINGENCY COEFFICIENT
  • POSITIVE PREDICTIVE VALUE
  • RATIO (= SUM1/SUM2)
  • RELATIVE RISK
  • STANDARD ERROR ODDS RATIO (STANDARD ERROR OF THE BIAS CORRECTED ODDS RATIO)
  • STANDARD ERROR LOG ODDS RATIO (STANDARD ERROR OF THE BIAS CORRECTED LOG ODDS RATIO)
  • TRUE POSITIVE
  • TRUE NEGATIVE
  • TEST SENSITIVITY
  • TEST SPECIFICITY

Miscellaneous:

  • DIFFERENCE OF BINOMIAL PROPORTIONS
  • DIFFERENCE OF COUNTS
  • DIFFERENCE OF INTEGRALS
  • DIFFERENCE OF PRODUCTS
  • DIFFERENCE OF SUMS

Case 3: Three Response Variables

Consensus Means:
  • SUMMARY DERSIMONIAN LAIRD
  • SUMMARY DERSIMONIAN LAIRD STANDARD ERROR
  • SUMMARY DERSIMONIAN LAIRD HHD
  • SUMMARY DERSIMONIAN LAIRD MINMAX
  • SUMMARY MANDEL PAULE
  • SUMMARY MANDEL PAULE STANDARD ERROR
  • SUMMARY MODIFIED MANDEL PAULE
  • SUMMARY MODIFIED MANDEL PAULE STANDARD ERROR
  • SUMMARY VANGEL RUKHIN
  • SUMMARY VANGEL RUKHIN STANDARD ERROR
  • SUMMARY GENERALIZED CONFIDENCE INTERVAL
  • SUMMARY GENERALIZED CONFIDENCE INTERVAL STANDARD ERROR
  • SUMMARY BOB
  • SUMMARY BOB STANDARD ERROR
  • SUMMARY BCP
  • SUMMARY BCP STANDARD ERROR
  • SUMMARY MEAN OF MEANS
  • SUMMARY MEAN OF MEANS STANDARD ERROR
  • SUMMARY FAIRWEATHER
  • SUMMARY FAIRWEATHER STANDARD ERROR
  • SUMMARY SCHILLER-EBERHARDT
  • SUMMARY SCHILLER-EBERHARDT STANDARD ERROR
  • SUMMARY GRAYBILL DEAL
  • SUMMARY GRAYBILL DEAL SINHA STANDARD ERROR
  • SUMMARY GRAYBILL DEAL NAIVE STANDARD ERROR
  • SUMMARY GRAYBILL DEAL ZHANG ONE STANDARD ERROR
  • SUMMARY GRAYBILL DEAL ZHANG TWO STANDARD ERROR

Date created: 4/27/2009
Last updated: 9/9/2010
Please email comments on this WWW page to alan.heckert@nist.gov.