Module 1 Flashcards

Chapters 1,3,4

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1
Q

Define “Sample”

A

Subset of individuals from a population of interest

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2
Q

Define “Estimation”

A

The ability to approximate an unknown quantity of a target population using sample data
-All estimates have a sampling distribution.

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3
Q

Define “Parameter”

Why is it subject to error?

A

Quantity describing a population from sample measurements/estimations.

Subject to error due to usage of incomplete data (a sample)

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4
Q

Define” Random Sampling”

A

A sampling method that assures that the sample chosen from the population is chosen by giving everyone an equal and independent chance of being chosen.
-Minimizes bias and allows for standard error calculations.

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5
Q

Define “Sampling error”, in terms of bias and independence.

What is its relationship to precision?

A

A discrepancy that arises due to chance from sampling the population

SE = 1/precision

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6
Q

Define “Convenience Sampling”, in terms of bias and independence.

A

A sampling method that chooses the sample group from individuals/groups that are easily available.
-Introduces bias.
-The sample being unbiased & independent is not guaranteed.
-

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7
Q

Define “Volunteer Sampling”, in terms of bias and independence.

A

A sampling method that allows for the population of interest to give themselves up for sampling.
-Introduces bias and can’t guarantee independence.

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8
Q

Why are larger samples better?

A

They are more precise and have lower sampling error

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9
Q

Define “Bias”

A

Discrepancy that arises due to the improper sampling of the population

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10
Q

What are the 2 major goals of sampling?

A

To reduce SE and bias & to allow for precision to be measured

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11
Q

Define “precision”

A

When the variables of the sampled population fall within the same range as one another (Clumped together).

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12
Q

Define “accuracy”

A

When the variables of the sampled population fall within/on the range of the true population (On the mark).

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13
Q

Define “Census”

A

The sampling of an entire population (rare)

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14
Q

Define “variables”

A

Characteristics that differ amongst individuals

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15
Q

Define “Categorical variables”

A

Qualitative measurement that can be sorted into groups

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16
Q

Define “Numerical variables”

A

Quantitative measurements.

Two types: discrete (integers) and continuous (any real #).

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17
Q

Define “Nominal variable “

A

Categorical variables that have no inherent order (ex. colour of fur)

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18
Q

Define “Ordinal variable”

A

Categorical variable that has an order, despite no quantification (ex. small, medium, large).

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19
Q

Define “Interval variable”

A

A numerical variable that has an order on a numerical scale, with defined differences between points. No true 0. ex. year.

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20
Q

Define “Ratio Variable”

A

A numerical variable with defined ratios. True 0 (physically meaningful). ex. Mass.

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21
Q

Define “Observational study”

A

Nature assigns values, researches only observes activity and points to associations. No control of treatment assignment.

22
Q

Define “Experimental study”

A

Researcher assigns treatment values randomly to individual units of study (reminder: a unit of study can be a group).

23
Q

Define “ Explanatory variable”

A

Independent. Treatment being applied.

24
Q

Define “Response variable”. How is it determined?

A

Dependent on the explanatory variable. Determined by examining associations between variables in test groups.

25
Q

Define “distributions”

A

The different measurements of different individuals in a sample

26
Q

Define “Frequency distributions”

A

How often each value occurs in a sample

27
Q

Define “ Probability distribution”

A

How often each value occurs in the whole population

28
Q

Define “Descriptive statistics”. How are they described?

A

Quantities that capture key features of frequency distributions.
-Described by location, spread, proportion.

29
Q

Define “location”

A

Indicates where observations are centred in numerical data . ex. mean, average, mode

30
Q

Define “Spread”

A

Indicates how dispersed observations are from the centre. ex. variance, SD, interquartile range.

31
Q

Define “mean”

A

The average of the numerical data

32
Q

Define “Median”

A

Middle value in a set of data (largest to smallest).

-Sensitive to extreme data

33
Q

Define “mode”

A

The most frequently occurring observation

34
Q

Define “variance”

A

Sum of squares of all residuals divided by dof.
Remember its s^2.
-Produces squared results!!!
*Look at equation

35
Q

Define “Standard Deviation”

A

Measures how far observations deviate from the mean.

  • Remember its s.
  • NEVER negative.
  • Same units as the observation being analyzed.
  • Look at equation
36
Q

Define “Interquartile range”

A

Measurement of variability in the middle 50% of the data (1st, 2nd, 3rd).
-Good indicator of SD when data is skewed/extreme.

37
Q

What does a normal distribution on a histogram look like?

A

Bell shaped and centred.

38
Q

Define “residual”. What does the sum of all residuals produce?

A

Difference between an observation and a mean (e). Sum of residuals will always equal 0.
*look at calculation formula

39
Q

Define “Degrees of Freedom”

A

The number of valuables in a calculation that are free to vary (n-1)

40
Q

Define “Skew”

A

A measure of asymmetry

41
Q

Define “Positive skew”

A

Right skew, tail faces right (positive side of graph)

42
Q

Define “Negative skew”

A

Left skew, tail faces left (negative side of graph).

43
Q

Define “Sampling distribution”

A

The probability distribution of of all values of an estimate that might be obtained when a population is sampled

44
Q

How does sample size affect sampling distribution?

A

Larger sample sizes produce narrower sampling distributions that fall more accurately on the true population parameters

45
Q

Define “Standard error”. What is it used for?

A

Standard deviation of an estimate’s sampling distribution.

  • Measures precision of a sample estimate, acquired from the population mean.
  • Look at formula
46
Q

What is the relationship of sample size and standard error?

A

As sample size increases, standard error decreases.

47
Q

Define “Confidence Interval”

A

A range of values surrounding the sample estimate that likely contains the true population parameter.

48
Q

What does 95% CI mean?

A

We are 95% confident that true population mean lies within the upper and lower limits of this interval (NOT that there’s a 95% probability)

49
Q

What is the purpose of error bars?

A

Demonstrate the precision of estimates (typically SE, not always).

50
Q

Define “Coefficient of variation”. What does it mean, in terms of variability?

A

Calculates SD as a percentage of the mean

-Low CV = less variability