Data Dissimilarity and Normalization Concepts
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Questions and Answers

Which measurement should be used specifically for numeric attributes to describe central tendency?

  • Median
  • Range
  • Mean (correct)
  • Mode
  • In which situation would you use the Jaccard coefficient for dissimilarity measurement?

  • When assessing similarity between nominal attributes
  • When comparing objects with ordinal attributes
  • When examining binary attributes (correct)
  • When analyzing numeric attributes
  • What is the primary function of a correlation matrix?

  • To normalize numeric data
  • To display the central value of attributes
  • To measure dissimilarity between objects
  • To identify redundancy and correlation among variables (correct)
  • Which type of attributes can be described with symmetric/asymmetric binary dissimilarity?

    <p>Binary attributes</p> Signup and view all the answers

    What is the primary goal of schema integration in the entity identification problem?

    <p>To avoid errors during data transformation</p> Signup and view all the answers

    What is the main goal of attribute subset selection in data reduction strategies?

    <p>To find a minimal set of attributes that preserves the original probability distribution</p> Signup and view all the answers

    Which of the following sampling methods allows tuples to be drawn more than once?

    <p>Simple random sample with replacement (SRSWR)</p> Signup and view all the answers

    What is the primary objective of regression in data analysis?

    <p>To create a linear model that estimates relationships between variables</p> Signup and view all the answers

    Which dimensionality reduction technique involves transforming data to a compressed representation?

    <p>Wavelet transforms</p> Signup and view all the answers

    What type of sampling generates a sample by dividing tuples into groups and selecting complete groups randomly?

    <p>Cluster sample</p> Signup and view all the answers

    Study Notes

    Data Dissimilarity and Normalization

    • Numeric data dissimilarity requires normalization to equalize attribute weights.
    • Example: Height (meters) and weight (grams) attributes. One will likely dominate due to different scales.

    Measuring Data Similarity/Dissimilarity

    • Attributes can be nominal, binary, ordinal, or numeric.
    • Use mean, SD, median, and mode to measure numeric attribute central tendency.
    • Use median and mode for other attributes.
    • Use:
      • Matching percent for nominal attributes.
      • Symmetric/asymmetric binary dissimilarity or Jaccard coefficient for binary attributes.
      • Minkowski distance for numeric attributes.

    Entity Identification Problem

    • Schema integration and object matching.
    • Metadata (name, meaning, data type, permissible range, and null rules) helps avoid integration and data transformation errors.

    Data Reduction Strategies

    • Dimensionality Reduction: Reduce the number of attributes; methods include wavelet transforms and Principal Component Analysis (PCA). Also attribute subset selection.
    • Numerosity Reduction: Replace original data with smaller data representation.
      • Parametric: Estimate data using only parameters.
      • Nonparametric: Store reduced representations of the data.
      • Compression: Transformations for "compressed" representation.
    • Attribute SubsetSelection: Determine a minimal set of attributes to maintain the original data distribution.
    • Attribute Construction: Create new attributes, e.g., area from height and width.

    Regression

    • Modeling data for fitting a straight line.
    • Regression line equation: y = wx + b (w and b are regression coefficients).
    • Calculated using least squares method (minimizing error between actual and estimated lines)

    Sampling

    • Represent a large dataset using a smaller, random sample.
    • Simple Random Sample (SRS):
      • Without replacement (SRSWOR): Draw 's' of 'N' tuples ('s' < 'N').
      • With replacement (SRSWR): Similar to SRSWOR but each drawn tuple is recorded, then replaced for possible reuse.
    • Cluster Sampling: Tuples are grouped into clusters, and an SRS of clusters is obtained.
    • Stratified Sampling: Tuples are divided into strata and SRS is generated within each stratum.

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    Description

    Explore key concepts in data dissimilarity and normalization, including measurement techniques for various attribute types. Learn about entity identification challenges and data reduction strategies such as dimensionality reduction. This quiz will test your understanding of how to equalize attribute weights and apply dissimilarity measures.

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