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98 Cards in this Set

  • Front
  • Back
what does probability convey about an event's occurrence?
it's our expectation or confidence in the event
what is the probability of a random event based on?
the relative frequency of the event in the population
what is random sampling?
selecting a sample so that every individual or score in the population has an equal chance of being selected
what is sampling with replacement
replacing the individuals or events from a sample break into the population before another sample is selected
what is sampling without replacement?
is not replacing the individuals or events from a sample before another is selected
how does sampling without replacement affect the probability of events, compared to sampling with replacement?
over successive samples, sampling without replacement increases the probability of an event, because there are fewer events that can occur; with replacement, each probability remains constant
what are events independent?
when the occurrence of one does not influence the probability of the other
what are events dependent?
when the occurrence of one influences the probability of the other
what does the term "sampling error" indicate?
it indicates that by chance, we've selected too many high or low scores so that our sample is unrepresentative. then the mean does not equal (mu) that it represents.
when testing the representativeness of a sample mean, what is the criterion probability?
it is the probability that defines means as too unlikely to accept as representing the (mu) of the underlying raw score population
when testing the representativeness of a sample mean, what is the region of rejection?
it is the area in the tail(s) of a sampling distribution containing the least likely and least representative sample means
when testing the representativeness of a sample mean, what is the critical value?
it is the minimum z-score needed for a sample to lie in the region of rejection
what does comparing a sample's z-score to the critical value indicate?
it indicates whether or not the sample's z-score ( and the samples (mean)) lies in the region of rejection
what is the difference between using both tails verses one tail of the sampling distribution in terms of the size of the region of rejection?
when using both tails, one-half of the region of rejection is in each tail of the sampling distribution

when using one tail, the entire region of rejection is in one tail of the distribution

what is the difference between using both tails verses one tail of the sampling distribution in terms of the critical value?
using both tails involves one critical value (usually ± 1.96);

using one tail involves a different critical value (usually ±1.645).

why does random sampling produce representative samples?
because by chance the sample has the same characteristics as the population
why does random sampling produce unrepresentative samples?
because by chance the sample does not have the same characteristics as the population
why, if a sample mean is in the region of rejection,do we reject that the sample represents the underlying raw score population?
because it is a mean that would virtually never occur if we had been representing that population
why, if a sample mean is not in the region of rejection do we retain that sample represents the underlying raw score population?
because we have a mean that occurs frequently and is likely when representing this population
when we compute the z-score of a sample mean, what must you compute first?
the standard error of the mean
when we compute the z-score of a sample mean it describes the mean's location among other means on what distribution?
the sampling distribution of means
when we compute the z-score of sample means, what does the distribution show?
it shows all possible means from a raw score population and their frequency
Why does the possibility of sampling error present a problem to researchers when inferring a relationship in the population?
sample may:

1) poorly represent one population because of sampling error or


2) represent some other population

what are inferential statistics used for?
they are used for deciding whether or not sample data are likely to represent a particular relationship in the population
what does αlpha stand for and what two things does it determine?
stands for the criterion probability

it determines the size of the region of rejection and the theoretical probability of a Type 1 error

what are two major categories for inferential procedures?
parametric and non parametric procedures
what characteristics of your data determine which inferential procedure you must use?
use parametric procedures with a normally distributed, interval, or ratio dependent variable; otherwise use, nonparametric procedure
what happens if you seriously violate the assumptions of a procedure?
the true probability of a Type 1 will be larger than our alpha
what is a statistical reason to design a study so you can use parametric procedures?
they are more powerful
what are experimental hypotheses?
they describe the predicted relationship that may or may not be demonstrated in an experiment
what does H0 communicate?
the null hypothesis indicates that the sample represents a population such that the predicted relationship does not exist
what does Ha communicate?
the alternative hypothesis indicates that the sample represents a population such that the predicted relationship does exist
why do you use one-tailed test?
when predicting the direction the scores will change
when do you use a two-tailed test?
when predicting a relationship but not the direction that scores will change
what does "significant" convey about the results of an experiment?
the sample relationship was so unlikely to occur if there was not a relationship in nature that we conclude there is a relationship in nature
why is obtaining significant results a goal of behavioral research?
because we want to study relationships and we believe that we've found only one when it is significant
why is declaring the results significant not the final step of the study?
because the goal is to understand the relationship and behaviors, so the final step is to understand and interpret the relationship.
what is power?
the probability of not making a Type II error
why do researchers want to maximize power?
so we can detect relationships when they exist and thus learn something about nature.
what results makes us worry whether we have sufficient power?
when results are not significant, we worry if we missed a real relationship
why is a one-tailed test more powerful than a two-tailed?
in a one-tailed test the critical value is smaller than in a two-tailed test; so the obtained value is more likely to be significant
What are the advantage and disadvantage of two-tailed test?
the advantage is that we need not predict the direction in which the IV will change the dependent score



the disadvantage is they are less powerful

what are the advantage and disadvantage of one-tailed tests?
the advantage is they are more powerful



the disadvantage is that we must accurately predict the direction in which the indepndent variable will change the dependent scores

when the assumptions of a procedure require normally distributed interval/ratio scores, are we referring to scores on the independent or dependent variable?
dependent variable
what distinguishes an interval and ratio variable from nominal or ordinal variables?
interval and ratio scores measure actual amounts, but an interval variable allows negative scores



nominal variables are categorical variables




ordinal scores are the equivalent of 1st, 2nd, etc.

what distinguishes a skewed versus a normal distribution?
a normal distribution is bell shaped and symmetrical with two tails



a skewed distribution is asymmetrical with only one pronounce tail

what does a sampling distribution of means show?
all means that occur by chance when sampling a particular raw score population
a mean having a z beyond +/- 1.96 is where?
in the region of rejection
how often do means in the region of rejection occur when dealing with a particular raw score population?

what does this tell you about your mean?

if (alpha) = 0.05, then less than 5% of the time



that it is less than a 5% chance of representing the raw score population

what is the difference between a real relationship and one produce by sampling error?
a real relationship occurs in nature (in the"population"). one produced by sampling error occurs by chance, and only in the sample data
what does a relationship produced by sampling error tell us about nature?
nothing
why can no statistical result prove that changing the independent variable causes the dependent score to change?
because statistics don't "prove" anything

it is always possible that some hidden variable is the cause

what one thing does a significant result prove?
that our sampling mean was unlikely to occur if we were representing a particular raw score population
why are there different values of t(crit) when samples have different Ns?
different Ns produce differently shaped t-distributions, so a different t(crit) is needed to demarcate a region of rejection equal to (alpha)
what must you determine in order to find t(crit)?
the degrees of freedom?
what is the symbol for Pearson correlation coefficient in the population?



summarize the steps involved in analyzing a Pearson correlational study

p



determine if the coefficient is significant by comparing it to the appropriate critical value;


if the coefficient is significant, compute the regression equation and graph it, compute the proportion of variance accounted for, and interpret the relationship

summarize the steps involved in analyzing the results of a one-sample experiment
create a hypothesis and design a study to obtain (mean) of dependent scores under one condition to compare to known (mu) under another condition ; determine if (mean) differs significantly from (mu) ; if it does, compute confidence interval for (mu) being represented, and interpret relationship psychologically
what is the final step when results are significant in any study?
to describe the relationship and interpret it psychologically, sociologically. etc.
what is power?
the probability of rejecting Ho when it is false (not making a Type II error)
what outcome should cause you to worry about having sufficient power?



why?

when a result is not significant



because then we may have made a Type II error

at what stage do you build in power?
when designing a study
what are the three aspects of maximizing the power of a t-test?
maximizing the difference between (mean) and (mu)

minimizing the variability in independent scores


maximizing N

what are the three aspects of maximizing the power of a correlation coefficient?
avoid a restricted range of X or Y

minimize the variability in the Y scores at each X scores


maximize N

while conducting a one-sample experiment:

what two parametric procedures are available?




what is the defining factor for selecting between them?




what are other assumptions of the t-test?

the t-test and z-test



compute z if the standard deviation of the raw score population is known; compute t if raw score population is estimated by Sx




that we have 1 random sample of interval or ratio dependent scores, and the scores are approximately normally distributed

inferential statistics
procedures for deciding whether sample data represents a particular relationship in the population
parametric
inferential procedures require assumptions about the raw score populations being represented



they are performed when we compute the mean

nonparametric
inferential procedures do not require stringent assumptions about the population being represented. they are performed when we compute the median or mode
why must a relationship be significant to be important?
we must first believe that it is a real relationship, which is what significant indicates
why can a relationship be significant and still be unimportant?
significant means only that we believe that the relationship exists in the population; a significant relationship is unimportant if it accounts for little of the variance
whats the difference between the purpose of descriptive and inferential statistics?
descriptive procedures are for summarizing important characteristics of data;

inferential procedures are for deciding whether the sampling relationship is likely to be found in the population (in nature)

when should you use a parametric versus a nonparametric inferential procedure?
use parametric procedures when the data are normally distributed, interval or ratio scores



use nonparametric with any other type of score

what is the design of the study when we compute the z-test and t-test versus when we compute a correlation coefficient?
the z- and t-test are used to compare the mu of a population when exposed to one condition of the independent variable to the scores in a sample that is exposed to a different condition. a correlation coefficient is used when we have measure the X and Y scores of a sample
what does a correlation coefficient tell you?
it indicates the strength of the linear relationship between a set of X and Y scores
when do you compute r?



rho?

pearson coefficient

with normally distributed, interval or ratio X and Y scores

for sample




rho = population

when is linear regression used?
with a significant Pearson r to predict Y (criterion) scores based on participants' X (predictor) scores
what do we mean by the restriction of range?



why is it a problem for the size of correlation coefficient?

when the range of X or Y is limited and artificially small



it produces an artificially small r

why is it a problem for the power of a correlation coefficient to have restriction of range?
a smaller r reduces power, increasing the likelihood that we will miss a relationship that exists in nature
a scientist has conducted a two sample experiment:

a) what two parametric procedures are available?


b) what is the deciding factor for selecting between them?

the independent-samples t-test and the related samples t-test



whether the scientist created independent samples or related samples

how do you create independent samples?
created when selecting and assigning participants to a sample without considering those selected for the other sample
what are the two ways to create related samples?



what other assumptions must be met before using either two-sample t-tests?

each score in one sample is paired with a score in the other sample by matching pairs of participants or by repeatedly measuring the same participants in all conditions



the scores are interval or ratio scores; the population are normal and have homogenous variance

what is homogeneity of variance?
occurs when the variances of the populations represented in our study are equal
what is the difference between n and N?
n is the number of scores in each condition



N is the number of scores in the experiment

all other things being equal, should you create a related-samples or an independent-samples design? why?
a reason to prefer a related design, if appropriate, is because the related samples t-test is more powerful
what does the confidence interval for mu(d) indicate?
it indicates a range of values of mu(d), any one of which (D) is likely to represent
what does a confidence interval for the difference between two (mu)s indicate?
it indicates a range of differences between two (mu)s, one of which is likely to be represented by the difference between our sample means
what does effect size indicate?



what does d indicate?

it indicates the size of the influence that the independent variable had one dependent scores



it measures effect size using the magnitude of the difference between the means of the conditions

why is effect size useful during the final task after completing the analysis of significant results?
because it indicates the size of the impact the independent variable has on the dependent variable and the behavior it reflects
after obtaining a statistically significant two sample t(obt) what are three things you should do to complete your analysis?
graph the results, compute the appropriate confidence interval, and compute the effect size
what is the difference between an experiment vs a correlation study in terms of the design?
we actively change one (independent) variable and measure the other to produce a relationship vs simply measuring two variables to observe a relationship that might be present
what is the difference between an experiment vs a correlation study in terms of how we examine the relationship?
we compute the mean in each condition to see if dependent scores change as the conditions change vs computing the correlation coefficient to summarize the entire relationship at once
what is the difference between an experiment vs a correlation study in terms of how sampling error might play a role?
sampling error might produce misleading (means) by chance vs producing the misleading correlation coefficient by chance
what does it mean to "account for variance"?
to predict Y scores by knowing someone's X score
how do we predict score in an experiment?
we predict the mean of a condition for participants in the condition
which variable is an experiment is potentially the good predictor and important?



when does that occur?

independent variable



when the predicted mean score is close to most participants' actual score

in an experiment. what are three ways to try to maximize power?
produce large differences between the means of the conditions; have small variability in scores within each condition; take a large n in each condition
what does maximizing power do in terms of our errors?
it minimizes the chances of making a Type II error
for what outcome is it most important for us to have maximum power and why?
if the results are not significant, so we can be confident that we did not miss a relationship that exists in nature
you have performed a one-tailed t-test. when computing a confidence interval, should you use the one tailed or two tailed t(crit)?
a confidence interval always uses the two-tailed t(crit)