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Statistics Lecture 3 - Describing Variables Numerically

sarahderveeuw Statistics University Undergraduate Englisch 14 Karten

Statistics Lecture 3 - Describing Variables Numerically

Karten in diesem Stapel (14)

  1. 1Uses of Descriptive StatisticsEstimates of central tendency:
    Provides a good summary of the location of scores on scale
    Mean, median, mode
    Measures of disperson:
    Quantifies how much the scores vary.
    Range, variance, inter-quartile range
  2. 2Meanvalue obtained when the scores are added all together then deivided by the number of scores; the average
  3. 3How means are affected- Means are not always exactly in the middle of a distribution
    - Means are affected by outliers and move towards the outlier
  4. 4MedianCentral score once values have been arranged in numericalorderMedian
  5. 5Comparing Means of Central TendencyComparing Means of Central Tendency
  6. 6Measures of DispersionMeasures of Dispersion
  7. 7RangeThe difference between the highest and lowest value
  8. 8Inter-Quartile RangeIn Psych, usually the middle 50%Inter-Quartile Range
  9. 9How to calculate IQRQ3 - Q1 = IQR
    where Q3 is median of Q2 to max
    and Q1 is median from min to Q2
  10. 10VarianceThis focuses on the average amount that each case in the sample differs from the mean
    It is an indication of the variability of your data
  11. 11How to generally calculate varianceYou can work out the variance by calculating:
    The arithmetic mean
    How much each case differs from this mean
    Squaring each of these deviations
    Summing these squared deviations
    Dividing the result by the number of cases
  12. 12Example of standard deviations calculationsVariance = 193/12
    16.08
    Example of standard deviations calculations
  13. 13Important things to know about VarianceVariance cannot be interpreted in isolation.
    It is dependent on the measure in question:
    Wide numerical scale will tend to have large variances, and vice-versa.
    Variances are also often reported comparatively
    For example, males vs. females.
  14. 14Summary of this TopicWe can describe our sample in terms of central tendency, spread or variability
    The mean is the ‘average’ value
    The median is the ‘middle’ value
    The mode occurs most frequently
    The range is the difference between the lowest and the highest value
    The inter-quartile range is the range of the central 50% of the sample
    Variance assesses the variability of the data

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University Undergraduate Statistics Karteikarten am Statistics Lecture 3 - Describing Variables Numerically, erstellt von sarahderveeuw am 22/04/2015.
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