W2: Practice Questions for Concepts (Important!) Flashcards

1
Q

What should any well-formulated research question contain? What is the most important?

A

(a) Grammatically expressed as a question, with a question mark “?” at the end.
(b) All relevant constructs to be investigated.
(c) Population relevant for these constructs and research context.
(d) Specify the general form of the relationship among constructs to be investigated by use of a term such as “associate”, “predict”, or “different” [Most important]

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
2
Q

What do we mean by a population in psychological research? How is it defined? What is the size

A

Population

Complete set of all persons for whom the research question/research hypothesis is relevant.

Defined in terms of either:

(i) psychological construct (e.g., depression) or defined condition (e.g., people with epilepsy), which identifies a homogeneous grouping, or
(ii) the general population (when theory and the research question/hypothesis are not restricted to a homogeneous group)

Size

A research population can be theoretically infinite in size, or it may be finite.

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
3
Q

What do we mean by a sample ? How is it defined

A

Sample

  • finite set of people of size n
  • selected from a relevant population
  • to investigate the research question, and on whom we take measurements in order to undertake the research
How well did you know this?
1
Not at all
2
3
4
5
Perfectly
4
Q

How does a sample differ from a population in psychological research?

A
  • A sample is a subset of people selected from the population.
  • It is feasible that many different samples can be selected from the same population (but research typically use one)
How well did you know this?
1
Not at all
2
3
4
5
Perfectly
5
Q

How is a sample related to a population ?

A

Each sample is considered representative (not always) of the population in some way due to the way it is selected.

Sample is used to make inferences about relationships among constructs at the population level

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
6
Q

What do we mean by a parameter in psychological research? What is its role?

A

Population Parameter

  • Quantitative summary characteristic of all people in a population that may define
    • e.g., the average amount or average variability of some construct, or the strength of relationship between constructs.
  • Regarded as having only one possible fixed value
    • i.e., the population value
How well did you know this?
1
Not at all
2
3
4
5
Perfectly
7
Q

What do we mean by a statistic in psychological research? What is its role?

A

Sample statistic

  • Quantitative summary characteristic of all people in one particular sample of size n drawn from the population
  • Value of a sample statistic will vary from one sample to the next when different samples are selected from the same population
How well did you know this?
1
Not at all
2
3
4
5
Perfectly
8
Q

How does a statistic differ from a parameter

A
  • Only one possible value of parameter
    • Can be many different values of a statistic.
  • Value of a parameter is always unknown (can’t be calculated, only estimated)
    • Value of sample statistic is always known.
  • Value of a sample statistic will almost certainly be different to the population parameter
How well did you know this?
1
Not at all
2
3
4
5
Perfectly
9
Q

How is a statistic related to a parameter ?

A

A sample statistic is related to a population parameter by:

  1. Value of the sample statistic being an estimate of value of the population parameter, and
  2. A statistical inference being made about the value of an unknown population parameter from the known value of a single sample statistic
How well did you know this?
1
Not at all
2
3
4
5
Perfectly
10
Q

What is the difference between peoples’ observed scores and their raw scores

A

The observed score and the raw score in sample data mean exactly the same thing

  • Actual untransformed values recorded for each person when measuring a construct.
How well did you know this?
1
Not at all
2
3
4
5
Perfectly
11
Q

How does a raw score differ from a deviation score?

A

Deviation scores

  • Value obtained from a raw (i.e., observed) score when some constant value is subtracted from it.
  • The most typical form of a deviation score is when the sample mean is subtracted from each person’s raw score
    • Any positive deviation score = Original raw score is above the sample mean
    • Any negative deviation score = Original raw score is less than the sample mean
    • When sample mean is used to create deviation scores, the deviation scores will have a mean of 0
How well did you know this?
1
Not at all
2
3
4
5
Perfectly
12
Q

How does a deviation score similar/differ from a Z score ?

A

Deviation

  • Mean = 0
  • SD = SD of sample raw scores
    • i.e., creating deviation scores does not change the average amount of variability in the scores themselves
  • Tell us whether a value is above or below the mean
  • Do not tell us how far any value is from the mean.

Z-Scores

  • Standardized deviation scores
  • Also mean = 0
  • SD = 1
    • Z scores are calculated as deviation scores that have each been divided by the standard deviation
  • Tell us whether a value is above or below the mean
  • Tell us how far any value is from the mean.

Both deviation scores and Z scores can be regarded as ways of applying a transformation to raw scores.

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
13
Q

How does a Z score differ from a standardised score ? How is Z calculated?

A
  • Z scores = Particular kind of standardised score
    • With mean = 0 and sd = 1
  • Z scores are typically calculated by transforming raw score using the sample mean and sample standard deviation
    • or the population mean and standard deviation can be used if they are known, e.g., like for IQ tests).
How well did you know this?
1
Not at all
2
3
4
5
Perfectly
14
Q

Bob’s raw score on a resilience measure is 23; Ali’s deviation score on the same measure is –4.

(a) Which one of the two people has greater resilience?
(b) What reason(s) did you base your answer on?
(c) What can you conclude about Ali’s level of resilience?

A

(a) Cannot say without knowning sample mean.
(b) Raw scores and deviation scores cannot be compared directly without knowing the value of the sample mean used to transform the original raw score into a deviation score.
(c) All we know is that Ali’s score is 4 units below the mean (but it is not clear what these 4 units represent, because the metric of this score has no specified scale)

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
15
Q

Bob’s raw score on a resilience measure is 23; Ali’s deviation score on the same measure is –4. The sample mean is 35

(a) Which one of the two people has greater resilience?

A

Bob’s Raw:23

Ali’s Raw: 31

Bob’s deviation: -12

Ali’s devation: -4

Ali has 8 units higher than Bob

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
16
Q

What is meant in general terms by a distribution of scores?

A

A distribution is a set of different numerical values that can be found, or conceived to occur, in at least four different contexts:

  • sample distribution of observed scores;
  • population distribution of construct values;
  • sampling distribution of sample statistics;
  • theoretical distribution.
17
Q

How do a sample distribution and population distribution differ? How are they similar?

A

A sample distribution (Not a sampling distribution)

  • Set of values obtained from measuring people on a construct in a single sample drawn from a population
  • Sample statistics are summary characteristics of a sample distribution.

A population distribution

  • Set of values for all people in a population on a construct
  • Population parameters are summary characteristics of a population distribution.
18
Q

What is the difference between an estimator and an estimate?

A
  • Estimator
    • Mathematical formula or procedure used to obtain a sample statistic from raw data
  • Estimate
    • Numerical value of a sample statistic of the unknown population parameter value.
19
Q

What is a standard error?

What is it used for?

How do we change the standard error?

A

Standard error (SE)

  • Measure of the sampling variability of a sample statistic.
    • e.g. if we calculate a sample correlation in a single sample of data, then we could calculate the standard error of that sample correlation value also
  • Theoretically explained as SD of a sampling distribution of that sample statistic

Uses and Change

  • Used in calculating a confidence interval
  • All other else being equal, a larger sample size results in a smaller standard error value, and a more precise confidence interval
    • Smaller SE = More representative of population
20
Q

What is a sampling distribution?

A

Sampling distribution (Not SAMPLE distribution)

  • Distribution of values of a sample statistic calculated in a large number of scores in a sample that have been drawn from a population.
  • Value of a sample statistic (e.g., a correlation or Cramer’s V) will differ from one sample to the next
    • Values of a sample statistic from very large number of samples will have a subset of values that occur very frequently (values that are close to the population parameter value) and other values that occur very rarely (the latter are in the tails of the distribution).
21
Q

What is the difference between a point estimator and an interval estimator?

A

Point Estimator

  • If we have a sample of scores on a construct measure and if we calculate a sample statistic on those scores (e.g., a correlation), then the formula we use to do the calculation is called an point estimator
  • Produces one estimated value of the unknown population correlation (i.e., a sample correlation equal to 0.53)

Interval Estimator

  • If we use a formula that calculates a range of estimated values in a confidence interval, then that formula is called an interval estimator.
    • e.g., the values of the 95% confidence interval might be [0.11, 0.79]. This range of values is calculated by using an interval estimator.
22
Q

What is an unbiased 95% interval estimator? How is it checked

A
  • Will contain the true population parameter value on average 95% of the time over the long run
    • i.e. when interval is calculated on a very large number of samples drawn from the population and we count how often the true population parameter value is contained in each interval (i.e. coverage rate)
  • Checked using a computer simulation
    • If the simulation shows the coverage rate equals 95%, then the interval estimator is said to be unbiased
    • If the coverage rate in a simulation is less than 95%, or more than 95%, on average, then the interval estimator is said to be biased.
23
Q

What is a consistent 95% interval estimator?

A
  • Calculates confidence intervals that increasingly contain (or capture) the true population parameter value on average 95% of the time as the size of each sample gets increasingly larger over the long run
    • Coverage rate gets increasingly more accurate as sample size gets larger.
  • An interval estimator that is biased may still be consistent, because consistency is dependent on sample size (being an unbiased or biased interval estimator is not a function of sample size).
24
Q

What is an efficient 95% interval estimator?

A
  • Produces a more narrow interval (i.e., a smaller distance between the lower bound value and the upper bound value) on average over the long run, compared to an inefficient interval estimator.
  • This property is comparative and is analogous to saying this professional basketball players are taller than professional horse jockeys on average (but we are not saying how much taller or shorter one group is over the other).