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MANOVA

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Samples of Romano-British pottery were taken at four sites in the United Kingdom. A chemical analysis of the pottery was performed to measure the percentage of ... – PowerPoint PPT presentation

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Title: MANOVA


1
MANOVA
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Samples of Romano-British pottery were taken at
four sites in the United Kingdom. A chemical
analysis of the pottery was performed to measure
the percentage of five metal oxides present in
each sample. The purpose of the analysis was to
determine if different sites produced pottery
with different chemical compositions. Since we
have five different measures of chemical
composition, we should perform a multivariate
analysis of variance (MANOVA) analysis to
determine if there is a significant difference
between sites considering all five variables
simultaneously. The dependent variables
(Y-variables) for the MANOVA are the five
chemical variables the predictor variable
(X-variable) is 'Site'.
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  • Twenty-six samples of Romano-British pottery were
    found at four different kiln sites in Wales,
    Gwent and the New Forest. The sites are
    Llanederyn (L), Caldicot (C), Island Thorns (I),
    and Ashley Rails (A). The other variables are the
    percentage of oxides of various metals measured
    by atomic absorption spectrophotometry. The data
    were collected to see if different sites
    contained pottery of different chemical
    compositions.

4
  • Al Percentage of aluminum oxide in sample
  • Fe Percentage of iron oxide in sample
  • Mg Percentage of magnesium oxide in sample
  • Ca Percentage of calcium oxide in sample
  • Na Percentage of sodium oxide in sample
  • Site Site where pottery sample was collected

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  • The MANOVA analysis shows that there is a
    significant difference between the sites when
    considering all five measures simultaneously and
    when considering each individually. This is
    convincing evidence that a difference exists
    however, it does not tell us which group(s) were
    different from the others. To determine this, we
    must rely on post-hoc tests of each chemical
    measure across the different sites.

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