quiz -levels of measurement for the variable
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Levels of measurement
for the variable
•
(N)ominal• (O)rdinal• (I)nterval• (R)atio
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The nominal type, sometimes also calledthe qualitative type, diferentiates betweenitems or subjects based only on their namesandor (meta!)cate"ories and other #ualitativeclassi$cations they belon" to%
Categorical (Nominal)
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dia"nostic cate"ories se& o' the participant ("ender) classi$cation based on discrete characteristics (e%"%, hair
color) "roup aliation (e%"%, Republican, emocrate, *oy +cout ,
nationality, ethnicity, lan"ua"e, "enre, style, biolo"icalspecies, visual pattern, etc%)
the town people live in a persons name menu items selected any yesno distinctions most 'orms o' classi$cation (species o' animals or type o'
tree) location o' dama"e in the brain
Nominal Scale Examples
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The ordinal type allows 'or ran- order (.st,/nd, 0rd, etc) by which data can be sorted,but still does not allow 'or relative degree ofdierence between them%
Ordinal 1ariable
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any ran- orderin"
class ran-s social class cate"ories order o' $nish in a race data with dichotomous (or dichotomi2ed) values
such as sic- vs% healthy when measurin"health, "uilty vs% innocent when ma-in" jud"ments in courts, wron"'alse vs% ri"httruewhen measurin" truth value,
non-dichotomous data consistin" o' a spectrumo' values, such as completely a"ree, mostlya"ree, mostly disa"ree, completely disa"reewhen measurin" opinion
Ordinal Scale Examples
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3n interval variable is similar to an ordinalvariable, e&cept that the intervals betweenthe values o' the interval variable aree#ually spaced% nterval data is li-e ordinale&cept we can say the intervals betweeneach value are e#ually split%
Example is temperature in de"rees4ahrenheit%
nterval variable
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scores on scales that are standardi2ed (i%e%, with an arbitrarymean and standard deviation, usually desi"ned to always "ive apositive score)
scores on scales that are -nown to not have a true 2ero (e%"%,most temperature scales e&cept 'or the 5elvin +cale)
scores on measures where it is not clear that 2ero means none o'the trait (e%"%, a math test)
scores on most personality scales based on countin" the numbero' endorsed items
nterval Scale Examples
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"atio means, li-e Interval, that there is ameasurement 'or the ran-in", but there isalso a true 2ero% 3 true 2ero means thatthere is lac- o' the #uality bein" measured%+ome e&les are income, where thediference between 6.7,777 and 6..,777 is-nown and 2ero means complete lac- o'income%
Ratio scale
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time to complete a tas- number o' responses "iven in a speci$ed
time period
wei"ht o' an object si2e o' an object number o' objects detected number o' errors made in a speci$ed time
period proportion o' responses in a speci$ed
cate"ory
"atio Scale Examples
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8isted below are a number o' e&ercisesdesi"ned to 'amiliari2e students with theclassi$cation o' measures usin" +tevensclassi$cation system% 4or each o' themeasures listed, determine what scale o'measurement most closely appro&imates themeasure as described%
Exercises
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#uestion $
.) The number o' #uestions as-ed by acustomer durin" a simulated encounterwith a salesperson9
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Ratio
%ns&er for #uestion $
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/) The reli"ious "roup that onealiates with9
#uestion '
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nominal
%ns&er for #uestion '
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0) The time it ta-es tocomplete a chec-in" tas-9
#uestion
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Ratio
%ns&er for #uestion
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:) The score on a 0;!item scaleo' ambivalence9
#uestion
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interval
%ns&er for #uestion
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;) The ran- o' a persons salarywithin the company9
#uestion *
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ordinal
%ns&er for #uestion *
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<) ran- order based on I= score inthe sample
#uestion +
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ratio
%ns&er for #uestion +
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>) the s#uare 'oota"e o' each participantshouse or apartment9
#uestion ,
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ratio
%ns&er for #uestion ,
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?) The si2e o' the cerebellum e&pressed asa volume
#uestion
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Ratio
%ns&er for #uestion
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@) the number o' 'rustrated comments made
durin" a laboratory ne"otiation tas9
#uestion .
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Ratio
%ns&er for #uestion .
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.7) The time it ta-es 'or a couple to resolvea custody issue durin" court orderedmediation
#uestion $/
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Ratio
%ns&er for #uestion $/
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..)+core on the *ec- epression Inventory
(a pencil and paper depression scale)
#uestion $$
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Interval
%ns&er for #uestion $$
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./) Ratin"s o' an"er shown by thoseinvolved in courtroom testimony
#uestion $'
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Intervalor Ordinal
%ns&er for #uestion $'
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.0) The number o' pound lost durin" a si&!wee- diet9
#uestion $
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Ratio
%ns&er for #uestion $
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.:) the proportion o' wei"ht lost durin" a si&!wee- diet9
#uestion $
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Ratio
%ns&er for #uestion $
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.;) The heart rate o' the participant9
#uestion $*
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Ratio
%ns&er for #uestion $*
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The percent shi't in heart rate over baselinedurin" an emotionally demandin" tas-9
#uestion $+
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Ratio
%ns&er for #uestion $+
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The percent o' errors made on aclassi$cation tas-
#uestion $,
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Ratio
%ns&er for #uestion $,
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The number o' 'alse alarm responses in amonitorin" tas-9
#uestion $
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Ratio
%ns&er for #uestion $
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The types o' "ramatical errors made in a writin"sample
#uestion $.
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nominal
%ns&er for #uestion $.
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ones ice cream pre'erence9
#uestion '/
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nominal
%ns&er for #uestion '/
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how #uic-ly a person "ives up on animpossible tas- that loo-s li-e it should bepossible
#uestion '$
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Ratio
%ns&er for #uestion '$
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a students +3T score
#uestion ''
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interval
%ns&er for #uestion ''
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the percentile ran- 'rom an achievement
test9
#uestion '
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ordinal
%ns&er for #uestion '
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the type o' cate"ori2ation errors in a sortin"tas-9
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nominal
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the pattern o' scores on the AABI personalityinventory
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nominal
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the a"e at which one went on his or her $rstdate
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Ratio
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the number o' children in your 'amily
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Ratio
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the score on an an&iety sensitivity scale
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Ratio
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whether one has a pet
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Ratio
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the teachers ran-in"s o' cooperativeness inthe classroom
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Ratio
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