Specifies the type of summary statistic. Summary statistics are a single number representation of the characteristics of a set of values.

- Short Name:
- SummaryStatisticType
- Long Name:
- Summary Statistic Type
- Version:
- 1.0
- Canonical URI:
- urn:ddi-cv:SummaryStatisticType
- Canonical URI of this version:
- urn:ddi-cv:SummaryStatisticType:1.0
- Location URI:
- http://www.ddialliance.org/Specification/DDI-CV/SummaryStatisticType_1.0_Genericode1.0_DDI-CVProfile1.0.xml
- Alternate format location URI:
- http://www.ddialliance.org/Specification/DDI-CV/SummaryStatisticType_1.0.html
- Alternate format location URI:
- http://www.ddialliance.org/Specification/DDI-CV/SummaryStatisticType_1.0_InputSheet_Excel2003.xls
- Agency Name:
- DDI Alliance

Value of the Code | Descriptive Term of the Code | Definition of the Code |
---|---|---|

ArithmeticMean | Arithmetic mean (X) | Mathematical average of a set of values. The mean is calculated by adding up two or more values and dividing the total by their number. In social/political science, it is usually the sum of the measurements divided by the number of subjects, or cases. |

GeometricMean | Geometric mean | Average value of all data if extracting the nth root of the product of all (n) values. Rarely used in social sciences. |

HarmonicMean | Harmonic mean | Average value of all data if calculating the reciprocal of the arithmetic mean of the reciprocal of values. Rarely used in social sciences. |

TrimmedMean | Trimmed mean | The (arithmetic) mean calculated after discarding given parts of observations at the high and low end (e.g., interquartile mean when the lowest 25% and the highest 25% are discarded, and the mean of the remaining values is calculated). |

StandardErrorOfMean | Standard error of the mean | The Standard Error for the mean value. |

Mode | Mode (Mo) | The most frequently observed data value (Statistics Canada). |

Median | Median (Mdn) | The values below which, and above which, half of the values in a distribution fall (50th percentile). |

ValidCases | Valid Cases | Cases with observations which are considered to be valid, i.e., providing substantial information and to be included for calculation. |

InvalidCases | Invalid cases | Cases which are considered/defined as "missing" (e.g., not ascertained, not applicable, etc.), usually excluded from calculation. |

Minimum | Minimum | The lowest valid value in a variable. |

Maximum | Maximum | The highest valid value in a variable. |

Range | Range | The range of valid values, i.e., all values that fall between the lowest and highest valid values. |

Sum | Sum | The sum or total of the values, across all valid cases. |

Variance | Variance (s2) | The variance is the mean square deviation of the variable around the average value. It reflects the dispersion of a frequency distribution around its mean (OECD Glossary of Statistics). |

StandardDeviation | Standard deviation (s) | The positive square root of the variance. The most widely used measure of dispersion of a frequency distribution. |

CoefficientOfVariation | Coefficient of variation (CV) | Standard deviation divided by the mean. |

AverageAbsoluteDeviation | Average absolute deviation (AAD) | The average of the absolute differences between each value and the overall mean. Measure of statistical dispersion around the mean, alternative to Standard Deviation. |

MedianAbsoluteDeviation | Median absolute deviation (MAD) | The median absolute deviation from the median. Measure of statistical dispersion around the median. |

FirstQuartile | First quartile | The first of three values which separate the total frequency of a distribution into four equal parts. |

Second Quartile | Second quartile | The second of three values which separate the total frequency of a distribution into four equal parts (= median). |

ThirdQuartile | Third quartile | The third of three values which separate the total frequency of a distribution into four equal parts. |

InterquartileRange | Interquartile range | The range between the first and third quartile values. |

FirstQuintile | First quintile | The first of four values which separate the total frequency of a distribution into five equal parts. |

SecondQuintile | Second quintile | The second of four values which separate the total frequency of a distribution into five equal parts. |

ThirdQuintile | Third quintile | The third of four values which separate the total frequency of a distribution into five equal parts. |

FourthQuintile | Fourth quintile | The fourth of four values which separate the total frequency of a distribution into five equal parts. |

InterquintileRange | Interquintile range | The range between the first and fourth quintile values. |

FirstDecile | First decile | The first of nine values which separate the total frequency of a distribution into ten equal parts. |

SecondDecile | Second decile | The second of nine values which separate the total frequency of a distribution into ten equal parts. |

ThirdDecile | Third decile | The third of nine values which separate the total frequency of a distribution into ten equal parts. |

FourthDecile | Fourth decile | The fourth of nine values which separate the total frequency of a distribution into ten equal parts. |

FifthDecile | Fifth decile | The fifth of nine values which separate the total frequency of a distribution into ten equal parts (= median). |

SixthDecile | Sixth decile | The sixth of nine values which separate the total frequency of a distribution into ten equal parts. |

SeventhDecile | Seventh decile | The seventh of nine values which separate the total frequency of a distribution into ten equal parts. |

EighthDecile | Eighth decile | The eighth of nine values which separate the total frequency of a distribution into ten equal parts. |

NinthDecile | Ninth decile | The ninth of nine values which separate the total frequency of a distribution into ten equal parts. |

InterdecileRange | Interdecile range | The range between the first and ninth decile values. |

OtherPercentile | Other percentile | A percentile not covered by any of the other percentile terms. |

Beta1 | Skewness | A measure for the asymmetry of a probability distribution of a variable. |

Beta2 | Kurtosis | A measure for the "peakedness" of a probability distribution of a variable. |

ShapiroWilk | Shapiro-Wilk | Normality test statistics. |

Other | Other | Use if the summary statistic type is known, but not found in the list. |

If using "Other", specify the value in the OtherValue attribute of the appropriate element.

Module Name | Element Name |
---|---|

physicalinstance | SummaryStatisticType |

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