Statistics and the Application of Statistics

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Statistics and the Application of Statistics

• Laura Bamber
• College of St Hild and St Bede
• Mathematics Teaching

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Section A

• Why Statistics?
• What is Statistics?
• Historical Background.
• Statistical Tasks.
• Statistics in Secondary Schools.
• Developing Statistics Post 16.
• Statistics and Technology.

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Why Statistics?

• Methods for extracting information from collected
  data.
• Make clear important features in data set.
• Help in the understanding of nearly every field
  in human existence.
• Examples Shakespeare, Federalist Papers.

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What is Statistics?

• Art of drawing conclusions from imperfect data
  using methods of reasoning.
• Population and Sample.
• Methods for drawing conclusions about
  populations by means of samples.
• Used throughout a study experimental design,
  analysis, communicating results.

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Historical Background

• Problem of Inference
• Philosophy Aristotle
• Mathematics Early 18th Century
• Jacob Bernoulli Ars Conjectandi
• Present Century
• Great interest
• Activity concentrated in English speaking world

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Statistical Tasks

• Designing a Good Experiment.
• Exploring Data.
• Estimating a Quantity.
• Testing a Hypothesis.

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Statistics in Secondary Schools

• Teaching of Statistics
• Fundamental Issue 2 ways of looking at the
  subject.
• AIM Produce range of realistic activities to
  develop all the relevant statistical skills.

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Developing Statistics Post 16

• Great number of statistical topics. Certain
  common concepts
• Populations and Samples
• Central Value Summary
• Variability
• Probability
• Measures of Relationship
• Models of Reality
• Assumptions

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Section B

• Application of Statistics
• Statistics in Sport

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Applying Statistics

• Statistics in Real Life
• Retail price index
• Rate of Inflation
• Level of Employment
• FT Share Index
• Rugby/Football Matches
• Weather Reports
• Reports on Stock/Bond Market
• Stats to Save Lives Florence Nightingale

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Statistics in Sport-A Statistical Analysis of St
Helens RLFC

• Aim Use various statistical methods to analyse
  performance last season.
• GCSE A-Level Degree
• Data Results of 2002 season home and away
  fixtures
• Results over past 10 years

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Statistics in Sport-A Statistical Analysis of St
Helens RLFC

• Averages and Variance
• Box and Whisker
• Correlations
• Confidence Intervals
• Wilcoxon Signed Rank Test
• Regression Line

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Thank You for Listening.

• Have a Nice Day!