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What is Statistics All About, Anyway? Chapter 1:   Terminology, Methods, Math
STATISTICS?
Statistics
Who do we study? Samples!Who are we interested in? Population!
Who do we study? Samples!Who are we interested in? Population! Parameter = characteristic of the population Statistic = Measured on the sample
What do we measure?  Variables! Trait or characteristic  Possibility of more than one value: it varies Values = the possible outcomes of variable Measured for each case (individual) in sample Usually many variables are measured
MEASUREMENT Major focus in Research Methods classes.  All research is only as good as its measurement
Measurement Interested in abstract concepts = constructs Love, happiness, success, effectiveness Depression, risk, poverty, hatred, alienation Birth rate, foreclosure rate Operational definition What indicates the presence of love, risk, or success? Exactly what procedures dowe use to measure it?
Discrete vs Continuous Variables COUNTABLE  =  discrete FLOWING  =  continuous
REAL  LIMITS Assign a number to location on the continuum. The number is not exact (e.g., 2.4) Refers to a range of values (here, 2.35 to 2.45)
Level (Scale) of Measurement Four levels Nominal Ordinal Interval Ratio The statistics wechoose for eachtechnique must be chosen according to the scale of measurement of the variable Need to recognize it instantly
Research  methods All sciences depend on specific analytical methods.Statistics  is an integral part of many methods
Correlational  Methods Two variables are measured to determine the strength and direction of their relationship.
Experimental Method Measure outcomes Apply treatment to onegroup,not to another Statistics test whether the differences between groups could happen by random chance.
Independent and Dependent Variables Independent variable is manipulated by the experimenter  Dependent variable is the outcome, also called the  control condition Quasi-experiment = groups are not equivalent
Math Notation & Review See Appendix A for more extensive Math Review. Also “Purple Math” under Stats Success
Summation Notation Omnipresent  Work the TUTORIALS in Aplia to gain efficiency How does summation fit into the Order of Operations?
Order of Operations Parentheses Exponents(powers, roots) Multiplication or Division SUMMATION Addition or Subtraction
Statistics as a Second Language Learn terms best by using them in meaningful work Practice how to apply definition, not just memorize Analyze research you learn in other courses
What is Statistics All About, Anyway? Look for as many hidden instances of statistics as you can find before the next class.

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Introduction to Statistics

  • 1. What is Statistics All About, Anyway? Chapter 1: Terminology, Methods, Math
  • 4. Who do we study? Samples!Who are we interested in? Population!
  • 5. Who do we study? Samples!Who are we interested in? Population! Parameter = characteristic of the population Statistic = Measured on the sample
  • 6. What do we measure? Variables! Trait or characteristic Possibility of more than one value: it varies Values = the possible outcomes of variable Measured for each case (individual) in sample Usually many variables are measured
  • 7. MEASUREMENT Major focus in Research Methods classes. All research is only as good as its measurement
  • 8. Measurement Interested in abstract concepts = constructs Love, happiness, success, effectiveness Depression, risk, poverty, hatred, alienation Birth rate, foreclosure rate Operational definition What indicates the presence of love, risk, or success? Exactly what procedures dowe use to measure it?
  • 9. Discrete vs Continuous Variables COUNTABLE = discrete FLOWING = continuous
  • 10. REAL LIMITS Assign a number to location on the continuum. The number is not exact (e.g., 2.4) Refers to a range of values (here, 2.35 to 2.45)
  • 11. Level (Scale) of Measurement Four levels Nominal Ordinal Interval Ratio The statistics wechoose for eachtechnique must be chosen according to the scale of measurement of the variable Need to recognize it instantly
  • 12. Research methods All sciences depend on specific analytical methods.Statistics is an integral part of many methods
  • 13. Correlational Methods Two variables are measured to determine the strength and direction of their relationship.
  • 14. Experimental Method Measure outcomes Apply treatment to onegroup,not to another Statistics test whether the differences between groups could happen by random chance.
  • 15. Independent and Dependent Variables Independent variable is manipulated by the experimenter Dependent variable is the outcome, also called the control condition Quasi-experiment = groups are not equivalent
  • 16. Math Notation & Review See Appendix A for more extensive Math Review. Also “Purple Math” under Stats Success
  • 17. Summation Notation Omnipresent Work the TUTORIALS in Aplia to gain efficiency How does summation fit into the Order of Operations?
  • 18. Order of Operations Parentheses Exponents(powers, roots) Multiplication or Division SUMMATION Addition or Subtraction
  • 19. Statistics as a Second Language Learn terms best by using them in meaningful work Practice how to apply definition, not just memorize Analyze research you learn in other courses
  • 20. What is Statistics All About, Anyway? Look for as many hidden instances of statistics as you can find before the next class.