• Shuffle
    Toggle On
    Toggle Off
  • Alphabetize
    Toggle On
    Toggle Off
  • Front First
    Toggle On
    Toggle Off
  • Both Sides
    Toggle On
    Toggle Off
  • Read
    Toggle On
    Toggle Off
Reading...
Front

Card Range To Study

through

image

Play button

image

Play button

image

Progress

1/84

Click to flip

Use LEFT and RIGHT arrow keys to navigate between flashcards;

Use UP and DOWN arrow keys to flip the card;

H to show hint;

A reads text to speech;

84 Cards in this Set

  • Front
  • Back
for numerical one group data what test do you do?
t-test one sample
Confidence interval (the easy way)
What are the question that should be asked about a sample?
is this group representative of the population
is the sample random
how far are the results form the norm
What are the steps for preforming a test
1. state the Ho: x=
H alt: x does not = u
2. collect the data (will be given)
3. pick and preform a test statistic
4. critical value of t for significance
5. compare the measured t value with the critical value of t
t-test one sample
used when there is one numerical data with one group with normal distribution
critical vlaue of t for significance
at what value of t is significant
two tailed 0.05 is base case, defing the central tendency 95% of the sample

if t is outside the critical t value reject the Ho and t is significant
if t is > Critcal t
there is a difference
reject Ho
p<0.05
if t is </= ti critical t
fail to reject Ho there is no difference
p>0.05
95% confidence intercal (the easy way) (t-test one group)
represents the sample
if u is not in the range this is significant reject the Ho
indicator of sample studied
95% CI (t-test one group)=
x+/- t(0.05) (SEM)
what do you do with ordinal or skewed data
do not use a t-test
use the NP test based on medians rather than means

parallel version of a t-test is the sign test
numerical data two groups
1. paired
2. independent
paired data
1 group measured twice

2 groups of data
independent data
2 groups measured once

2 goups of people
if the Confindence levels overlap when doing an indepentent t-test what tells that tell you
that they are not significant

when they do not overlap they are significant
if independent data is skewed or ordinal
use the wilcoxon rank sum test
problem with doing multiple pairings of t-test
increases the chance of error each test has 5% chance of error and have to add them each time
what can you do to account for multiple comparisons problems
want 5% error as a whole

bonferoni correction
bonferone correction
divide alpha/#of tests

spreading alpha across all the test
alpha priori
doing the correction before the test are done
ANOVA
analysis of variance

start from a grand mean and see how different the groups are

looking at the variation within the groups and between the goups
degrees of freedom for more than 1 group
N(total number of subjects)- # groups
variance between
sume of (x-xi)2
variance within
sum of (Sdi)2
f test (n,d)
variation bw/variation w/in
if f is > CV
f is significant
populaindivtion
represents the entire group of individuals in whom are interested
sample
those who aer representative of the population

draw inferences from the sample about the population
sampling error
we have to recognize that the information in the sample may not fully reflect what is true about the population

introduced by studying only some of the population
random sample
individuals are selected randomly
everyne in the population has and equal chance of being selected
parameter of the population
mean or proportion

estimate using data collected from the sample a sample satistic and a point estimate
sampling distribution of the mean
if the sample size is large there should be a normal distribution

if the sample size is small the estimates of the mean follow a normal distribution if the sample is normally distributed

the mean is an unbiased of the population (estimates true population mean)

the variablity of the distribution is measured by the standard deviation of estimates
standard error of the mean(SEM)
if we know the population standard deviation then the SEM is given by
cigma/square root of n
a large SEM
indicates that the estimate is imprecise
a small SEM
the estimate is precise
the SEM is reduced if
the sample size is increased
the data is less variable
standard deviation describes
the variation in the data values and shoul dbe quoted if you wish to illustrate variability in the data
SEM describes
the precision of the sample mean and should be quoted if you are interested in the mean of a set of data
95% CI if the distribution of sample means lies within
1.96 SD
range of values within which we are 95% confident that the true population mean lies
the samplng distribution of a proportion follows a ______ distribution
binomial
a wide CI indicates
the estimate is imprecise
a narrow CI indicates
imprecision
the width of CI depends on the size of
SE, which depends on the sample size
null hypothesis
assumes no efect
difference in means is equal to 0
alternative hypothesis
holds if the null is not true

relates to the theory we are investigating
two tailed test
where we do not specify a direction that the difference may take (higher or lower than the mean)

used most often
test statistic
reflects the amount of evidence in the data against the null

usulaly the larger the value the greater the evidence
p-value
is the probability of obtaining our resutls or something more extreme if the null is true
non-parametric tests
replace data with ranks
used with ordinal data or categorical data

have less power than parametirc tests
primary aim of a hypothesis test
is to provide an exact p value
confidence interval provides
quantifies the effect of interest and enables us to asses the clinical implications
bioequivalence trials
randomized trials that are interested in showing the rate and extent of absorption of new formulations of the drug is the same of the old
equivalence range
used in bioequivalent trials

the range that corresponds to an effect of clinical importance

the CI for th effect lies within the equivalence range the two treatments are equal
type I error
we reject the null when it is true and conclude there is an effect when there is none

will never our chosen significance level
type II error
we do not reject the null when it is false and conclude that there is no evidence of an effect when there is

the power of the test (1-beta)

the power is the probability of rejecting the null when it is false
power should be at least
80%
factors that affect power
sample size (power increases with an increasing sample size

varibility of observation (power increases as the varibiltiy decreases

effect of interest (the power of the test is greater for larger effects

significance level (the power is greater if the significance level is larger
situations that involve multiple comparisons
subgroup anaylyses
multiple comparisons for a single outcome variable (making pari wise comparisons between groups)
multiple outcome variables
interim analyses (when treatment comparisons are made at predetermined intermediate stages of a study
data dredging (a priori)
multivarient anaylsis
consider simultaneously the effects of one or more explanatory variables or more than one outcome variable
instead of a t-test for skewed data use
a sign test or a wilcoxon rank test
sign test is based on
medians
wilcoxon signed rank test
takes into account the ranks of the data as weel as their signs
paired t-test
the individuals are linked to each other in somw way
can you use a sign test for paired data
yes, use it whe the data is skewed or ordinal

asseses the medians
wilcoxon signed ranks tests for paired data
takes into account not only of the signs of the difference but also their magnitude and therefore is more powerful than the sign test
unpaired two sample t-test
normal distribtion
based on means
wilcoxon rank sum test
used when the data is skewed instead of a unpaired two sample t-test
mann-whitney U test
used when the data is skewed instead of a unpaired two sample t-test

gives identical results although it is slightly more complicated to carry out by hand
numerical data more than 2 groups use
one-way analysis of variance (ANOVA)
two types of variantion in the ANOVA
between group variantion and within group variantion
the ANOVA test is based on
the ratio of the within group vairation and between group variation (F)
non-parametric equivalent of the ANOVA
Kruskal-Wallis test
for categorical data use (a single proportion)
the test of single proportions

individuals either have the desired trait or not (a proportion)

used for normal distribution
the sign test applied to a proportion
can be used to express a preference
categorical data two proportions
2 independent groups
for 2 independent categorical groups use
the chi-squared test

data is obtained as frequencies
if the assumptions are not satisfied (categorical data)
use a fisher's exact test to obtain the p value
related groups (categorical data)
McNemar's test
McNemar's test
the 2 groups are related or dependent
chi-squared test large contingency tables
the data may be represented in an rxc table with r rows and c columns

the enteries in the table are frequencies

every individual is represented once
when there is a 2x2 table use
chi-squared test
chi-squared test for trend
takes into account the ordering of the groups
power def.
the chance of detecting a statisically significant, a specified effect if it exist

at least 80%
significance level (alpha)
the cut off level below which we will reject a null
varibility
the standard deviation