Semester Review Stat Lab Flashcards

1
Q

(1.2) Parameter

A

Describes some characteristic of a population (a population of x…)

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2
Q

(1.2) Statistic

A

Describes some character of a sample ( x of x amt, percentages, means)

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3
Q

(1.2) Discrete

A

Countable; only takes on specific values (# of t shirt sizes)

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4
Q

(1.2) Continuous

A

Infinite; can take on many values (weight, area, mass)

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5
Q

(1.2) Nominal

A

Categories, names, and labels only; can’t be arranged in order (ex: music genres, gender, etc.)

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6
Q

(1.2) Ordinal

A

can be arranged in order; differences in data can’t be determined or are meaningless (ex: movie ratings, letter grades, rankings)

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7
Q

(1.2) Interval

A

like ordinal, but difference btwn data value matters; doesn’t have natural zero starting point (not necessary the absence of any data) (ex: temperature, years, etc.)

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8
Q

(1.2) Ratio

A

like interval, but there is a natural zero starting point; differences & ratios matter (ex: money, height, age)

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9
Q

(2.1) Outliers

A

Sample values that lie very far away from the majority of the other sample values

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10
Q

(2.1) Distribution Shape

A

Normal = bell-shaped
Longer right tail = data skewed to right
Longer left tail = data skewed to left

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11
Q

(2.1) Outlier on histogram…

A

… will appear as a bar far from all the others w/ a height corresponding to 1

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12
Q

(2.1) Histogram

A

Graph w/ equal-width bars next to each other
(horizontal = quantitative classes; vertical = frequencies)
(find n by adding bars together)

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13
Q

(3.1) Mode

A

Measure of center w/ value that occurs with greatest frequency

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14
Q

(3.1) Median

A

middle value when original data values are in increasing / decreasing order; resistant

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15
Q

(3.2) Standard Deviation Properties

A

(1) unit of SD are same as units of original data
(2) measure of variation of all data values from the mean
(3) never negative

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16
Q

Variance

A

Square of the standard deviation

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17
Q

(3.3) Z-Score Properties

A
  • no units of measurement (in., cm.)
  • above of below mean
  • significantly high or low (2 <p< -2)
  • Greater than mean = +; Less = -
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18
Q

(3.3) Range Rule of Thumb

A

Value (x) -/+ (1,2,3…) standard deviation
- significantly high (+) or low (-)

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19
Q

(3.3) Z-Score

A

How many standards deviations away it is from the mean (round to two decimal places); x - x̄/SD

20
Q

(3.1) Mean

A

sum of data values / # of values; non-resistant

21
Q

(3.1) midrange

A

Max - min value /2

22
Q

(3.3) Percentiles

A

kth percentile being used (k = 25) (ex: 66th percentile = .66 to its left, or 66%)

23
Q

(4.1) Relative Freq Approx of Probability

A

P(a) = # of ways A occurred (x) / # of times experiment repeated (n)

24
Q

(4.1) Classic Probability

A

P(a) = # of way A can occur (s) / # of different simple events (n)

25
(4.1) Signicance Value of Probabilties is…
greater (>) or less (<) than 0.5
26
(5.1) Probability Distribution Properties
(1) btwn 0 and 1 inclusive (2) numerical, NOT categorical, x values (3) sum of probabilities = 1
27
(6.1) NORMAL distribution
- bell-shaped - close to line - no other shape than line - symmetric - centered around mean
28
(6.1) UNIFORM distribution
- rectangle-shaped - close to line - another shape than line
29
(6.1) SKEWED distribution
- has tail - not close to line
30
(6.1) standard normal probability distribution
Mean = 0 and standard deviation = 1
31
(6.1) Finding probabilities associated w/ distributions that are STANDARD NORMAL distributions is equivalent to..
Finding the area of the shaded region representing that probability
32
(6.2) Separating Values on Normal Distribution Graphs
Top % = right side of horizontal scale Bottom % = left side of horizontal scale
33
(6.3) Negative Z-Scores
A z-score corresponding to a value located to the left of the mean
34
(7.1) Point estimate
Single value used to approximate a population parameter
35
(7.2, sheet) best point estimate of population MEAN (μ)?
Sample mean (x̄)
36
(7.2, sheet) best point estimate of population PROPORTION (p)
Sample proportion (p̂)
37
(7.2) Interpreting A Confidence Interval
P: 99% CI of 4.1 < μ < 5.6? A: “We are 99% confident that the interval from 4.1 to 5.6 actually does contain the true value of μ.”
38
(8.1) Concluding H1 Claims in Hypothesis Testing
DOESN’T include equality = support
39
(8.1) Concluding H0 Claims in Hypothesis Testing
DOES Include equality = warrant rejection
40
Decision Mantra of P-value & Alpha
“P’s high? Null will fly. P’s low? Null’s gotta go.”
41
(8.1) P-value
Probability of getting a value of the t-stat that’s at least as extreme as the one representing the sample data (assuming H0 is true)
42
(8.1) Hypothesis Test
A procedure for testing a claim about a property of a population
43
(8.1) Null hypothesis
A statement that the value of the population parameter is equal to some claimed value
44
(9.2) dependent sample
subjects in one group do provide information about subjects in other groups
45
(9.2) independent sample
Randomly selected samples thats observations do not depend on the values other observations
46
(12.1) One Way Analysis of Variance (ANOVA)
Used for hypothesis test finding if 3+ population means are equal; uses F distribution