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First exam based on chapters 1-5 Flashcards

(54 cards)

1
Q

Two meanings of statistics

A

formal & informal

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2
Q

Formal Statistics

A

a branch of math that focuses on organizing, summarizing, analyzing and interpreting data in a table or graph or numerically

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3
Q

Informal Statistics

A

numbers representing something

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4
Q

What do we use to analyze and interpret data?

A

Inferential stats

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5
Q

inference stats

A

make a inference or draw a conclusion from a sample from a population

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6
Q

Data

A

the info we gather from people, places and things

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7
Q

two types of formal stats

A

descriptive & inferential

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8
Q

descriptive stats

A

organize & summarize data

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9
Q

inferential stats

A

analyze & interpret data

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10
Q

variable

A

a characteristic that can assume different variables ex:height

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11
Q

value

A

a possible number or category a score can assume, these belong to a variable

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12
Q

score

A

the value of a variable for a specific person, place or thing

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13
Q

two types of variables

A

numeric & nominal

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14
Q

numeric variables (quantitative variable)

A

variables whose values are numbers, includes ordinal & interval

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15
Q

(equal) interval variables

A

the distance and difference between two sequential values is the same

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16
Q

ordinal variable

A

categorical variable includes categories divided into groups and are relatively ranked, ex: class rank

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17
Q

ratio variable

A

has an absolute zero

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18
Q

What is the one benefit of frequency tables?

A

they provide an organized overview of how often values occur in a group of scores

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19
Q

How do you calculate the percentage on a frequency table?

A

You divide the frequency by the total number of scores, N=30 and the frequency is 1 the perfect is 3.3%

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20
Q

where do the values and frequencies go on the frequency graph ?

A

the values go on the x-axis & the frequencies go on the y-axis

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21
Q

Frequency distributions

A

the shape of a frequency graph reflects the distribution of scores across values of a variable, characterize the pattern of data

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22
Q

unimodal

A

one highest point in the graph, this is the most frequent
(ex: scores on an IQ test)

23
Q

bimodal

A

two equally high points on a distribution (ex: age of people at a park)

24
Q

rectangular distribution

A

all values of the same frequency (ex: number of children in each grade)

25
roughly symmetrical
one side of the face is the same as the other, a mirror image of the other
26
positively skewed
skewed to the left side
27
negatively skewed
skewed on the right side
28
mean
average of the scores, add up all the scores and divide them by N
29
Σ
sigma
30
N
number of scores in our group of scores
31
With means, averages should never be applied to ?
individuals, they are only calculated from individuals
32
mode
most common value, it is the central tendency for nominal variables
33
median
middle score, when arranged from lowest to highest
34
variance table
4 columns, X, M, X-M, X-M^2
35
X
score to the people in particular the raw score
36
variance steps
1. subtract the mean from each score 2. square each of these deviation scores 3. sum the squared deviation scores 4. divide the sum of squared deviations by N
37
standard deviation steps
1. calculate the variance (SD^2) 2. take the square root of the variance
38
X is a
raw score
39
Z is a
standardized score that talks in Standard deviation units, they are comparable and combinable
40
Z score formula
Z=X-M/SD
41
X-M is a deviation score what does that tell us?
It tells us how far away the X is away from the mean (M)
42
What is the goal of the z-score?
to convert the raw score to standard deviation units
43
What happens if the z-score is negative or positive?
Positive- the raw score is above the mean Negative-the raw score is below the mean
44
How are sample stats represented?
with roman letters like M, SD, SD2 Sample statistics can change from sample to sample because they are subsets of the population, each sample would be different
45
How are population parameters represented?
Greek letters mu (μ) -mean σ-standard deviation these are fixed quantities
46
conceptual interpretation
tells us the number of standard deviation units the raw score is above or below the mean
47
How do you calculate a z score back to a raw score?
X= ZxSD + M
48
substantive interpretation
applies it’s meaning to the specific scenario
49
NHST (Null hypothesis significance testing) Step 1
Restate your research question into hypotheses about population, Null hypothesis H(0) Research hypothesis H(1)
50
Null hypothesis
population 1 = population 2 meaning there is no difference
51
Research hypothesis
population 1 mean is greater than (>) population 2 mean
52
Population 2 in research hypotheses is?
people in general
53
Step 2 of NHST
determine characteristics of the comparison distribution under the null hypothesis
54
What do we do if our sample z-score exceeds the critical cutoff z-scores
we reject the null hypothesis