statisticstheartandscienceoflearningfrom datainformation
statisticalproblemsolvingprocessformulatequestionscollectdataanalyzedatainterpretresults researchbroad statisticaldata
variableanycharacteristicbeingstudiedheight OPAreligionetc variabilityisexpected somearetallhavepetslikegreensing
populationallindividual samplethegroupwe
groupsofindividual wewantinformationabout collectdatafromfew
iiiiiiiii
studentsinaprogram
call student o populationproportion thar pit
that aamainiii.it
parameternumber
numericalsummaries destribesthepopulation thesample
describes p phat
whatwewanttoknow l asanestimate
used
randomsamplingcreatesasamplethatisrepresentativeofthepopulation randomassignmentoftreatmentscreatesgroups
thatareascomparable
randomly
as sotheonly
possible difference
the
between groups isthet reatment treatment
assigning c out
ancels variables trends
uncaused
observational
imii aiiinii i iaiiiimiiiaimeaumresrna
ru prevalenceofbirthdefects evwomanworkedasahairdresser ruhowmuchadiseasespread evamountofdruggiven
simplerandomsample evensoupofsirenhasthesamechanceofselection
sample
stratified populationisgroupedwhereindividualsineath aresimilarbutdifferentbetweengroups sritakenfromeachgroup
cluster
sample populationisdividedintorepresentativegroupsrandomlyselectseveralsurveyeveryindividualinthatgroup
systematicsample usearuleto selectindividual Irandomlyselectthenumber10seeitevery10thindividual ifeng.gg
convenientesample thatareeasytoreach
individuals
survey
voluntaryresponsesample individualschore byrespondingtoa generalinvitation
themselves
randomsimplerandomstratifiedclustersystematic Not randomconvenience voluntaryresponse unrepresentativestrongopinion
Biased amethodthatwillconsistentlyoverestimateorunderestimatethevalueofinterest consistentlytoo highorlowfromthetruth
NonrandomsamplingBias resultsfromnonrandomsampling methodsincludesconvenienceandvoluntaryresponsesamples
under coverage octorswhensomemembersofthepopulationhavenochanceofbeingselected forthesample
ÉÉÉ
NonresponieBias ourswhenanindividualchosenforthesamplecan'tbecontactedorrefusestoparticipate
responsepia whenasamplesurveyproducesasystematicpatternofincorrectresponseswordingofquestionheavilyinfluences
Treatment conditionappliedtothe
specific individualsinanexperiment experimentalunitsselect
individual subjectsindividualsarehuman
controlcomparisonGroup useadesignthat comparetwoormore treatments control placeboaffect
randomization userandomchancetoassigntreatmenttoexperimentalunits balancesconfoundingvariable ÉÉÉÉÉÉ
Blindingthestudy experimentalunitsdon'tknowwhat treatmenttheyreceivesingleblindsubjectisunaware doubleblindexperimentertoo
response whatwearemeasuringastheoutcome completelyrandomizedDesigntreatmentsare assignedtoallexperimentalunitsbychance
randomizedBlockDesignusedwhenagroupofexperimentalunitsare knowntobesimilarinsomewaythatwouldaffecttheresponse
differentmathclassesadd variabilityeachsubjectis ablockgroup splitevenlytocompareimprovementhelps andcompare
focusontreatment
matchedpairsDesignspecialtypeofrandomizedblowdesign eachblock consistsofamatchingpairof similar
experimental units 2treatments
randomizedDesign DesignA different liveandwearontheboot matthedPairsDesign DesignB bothbookdothesamethings
scopeofinterferentetypeofinterferenceorconclusion thatcanbedrawnfromastudydeterminedbytypesofrandomness
randomsamplingallowsfor generalizations tothepopulation Randomassignmentoftreatmentsestablishescauseandeffect
wereindividualsrandomlyassignedto
groups
wereindividualsrandom
selectedfromapopulation
categoricalvariableplateanindividual
is in iiii initiation
intooneofseveralcategoriesorgroups Quantitativevariabletakesnumericalvaluestofindanaverage
Discreteif aquantitativevariable'spossiblevalueformasetofseparate numbers10.1.2.31 continuousvaluesformaninterval
numberofpetsthattohaveanexactnumber can'taveragearangeofnumbers weight delimalvaluesarepossible
FrequencyTablelisteach categoryandthefrequencyofindividualsinearncategorynumberofeathanwert
relativefrequencytablelisteachcategoryandtheproportionorpercentofindividualineach category proportion
Bargraphverticalbarsthatdisplaythefrequencyofobservation ineachcategoryofa categoricalvariable piechartcirclepartitionedinwedges
contingency twowayTabledisplaytherelationshipbetweentwocategoricalvariables atvariables Dot plotdotsHistogram barsrange
weoften describe thedistribution
wedescribetheshapeofthedistributio otaayaniitiiiiiiiialaii.liii
mtarai.it Ieiini iim
ia'You
reaiesnewnessissummery
meanandmediandescribethecenterofquantitativedata
standardDeviationaveragedistancefromthemean and interquartile
Rangeliar arenumericalsummariesthatdescribe variability
i iii
measure is pp
712
IIIiii
mean SD
E.IE Iron
Sd
distribution quantitativedataisnormalunimodal symmetricbell
shape valueofshasamorepreciseinterpretation
statisticalproblemsolvingprocessformulatequestionscollectdataanalyzedatainterpretresults researchbroad statisticaldata
variableanycharacteristicbeingstudiedheight OPAreligionetc variabilityisexpected somearetallhavepetslikegreensing
populationallindividual samplethegroupwe
groupsofindividual wewantinformationabout collectdatafromfew
iiiiiiiii
studentsinaprogram
call student o populationproportion thar pit
that aamainiii.it
parameternumber
numericalsummaries destribesthepopulation thesample
describes p phat
whatwewanttoknow l asanestimate
used
randomsamplingcreatesasamplethatisrepresentativeofthepopulation randomassignmentoftreatmentscreatesgroups
thatareascomparable
randomly
as sotheonly
possible difference
the
between groups isthet reatment treatment
assigning c out
ancels variables trends
uncaused
observational
imii aiiinii i iaiiiimiiiaimeaumresrna
ru prevalenceofbirthdefects evwomanworkedasahairdresser ruhowmuchadiseasespread evamountofdruggiven
simplerandomsample evensoupofsirenhasthesamechanceofselection
sample
stratified populationisgroupedwhereindividualsineath aresimilarbutdifferentbetweengroups sritakenfromeachgroup
cluster
sample populationisdividedintorepresentativegroupsrandomlyselectseveralsurveyeveryindividualinthatgroup
systematicsample usearuleto selectindividual Irandomlyselectthenumber10seeitevery10thindividual ifeng.gg
convenientesample thatareeasytoreach
individuals
survey
voluntaryresponsesample individualschore byrespondingtoa generalinvitation
themselves
randomsimplerandomstratifiedclustersystematic Not randomconvenience voluntaryresponse unrepresentativestrongopinion
Biased amethodthatwillconsistentlyoverestimateorunderestimatethevalueofinterest consistentlytoo highorlowfromthetruth
NonrandomsamplingBias resultsfromnonrandomsampling methodsincludesconvenienceandvoluntaryresponsesamples
under coverage octorswhensomemembersofthepopulationhavenochanceofbeingselected forthesample
ÉÉÉ
NonresponieBias ourswhenanindividualchosenforthesamplecan'tbecontactedorrefusestoparticipate
responsepia whenasamplesurveyproducesasystematicpatternofincorrectresponseswordingofquestionheavilyinfluences
Treatment conditionappliedtothe
specific individualsinanexperiment experimentalunitsselect
individual subjectsindividualsarehuman
controlcomparisonGroup useadesignthat comparetwoormore treatments control placeboaffect
randomization userandomchancetoassigntreatmenttoexperimentalunits balancesconfoundingvariable ÉÉÉÉÉÉ
Blindingthestudy experimentalunitsdon'tknowwhat treatmenttheyreceivesingleblindsubjectisunaware doubleblindexperimentertoo
response whatwearemeasuringastheoutcome completelyrandomizedDesigntreatmentsare assignedtoallexperimentalunitsbychance
randomizedBlockDesignusedwhenagroupofexperimentalunitsare knowntobesimilarinsomewaythatwouldaffecttheresponse
differentmathclassesadd variabilityeachsubjectis ablockgroup splitevenlytocompareimprovementhelps andcompare
focusontreatment
matchedpairsDesignspecialtypeofrandomizedblowdesign eachblock consistsofamatchingpairof similar
experimental units 2treatments
randomizedDesign DesignA different liveandwearontheboot matthedPairsDesign DesignB bothbookdothesamethings
scopeofinterferentetypeofinterferenceorconclusion thatcanbedrawnfromastudydeterminedbytypesofrandomness
randomsamplingallowsfor generalizations tothepopulation Randomassignmentoftreatmentsestablishescauseandeffect
wereindividualsrandomlyassignedto
groups
wereindividualsrandom
selectedfromapopulation
categoricalvariableplateanindividual
is in iiii initiation
intooneofseveralcategoriesorgroups Quantitativevariabletakesnumericalvaluestofindanaverage
Discreteif aquantitativevariable'spossiblevalueformasetofseparate numbers10.1.2.31 continuousvaluesformaninterval
numberofpetsthattohaveanexactnumber can'taveragearangeofnumbers weight delimalvaluesarepossible
FrequencyTablelisteach categoryandthefrequencyofindividualsinearncategorynumberofeathanwert
relativefrequencytablelisteachcategoryandtheproportionorpercentofindividualineach category proportion
Bargraphverticalbarsthatdisplaythefrequencyofobservation ineachcategoryofa categoricalvariable piechartcirclepartitionedinwedges
contingency twowayTabledisplaytherelationshipbetweentwocategoricalvariables atvariables Dot plotdotsHistogram barsrange
weoften describe thedistribution
wedescribetheshapeofthedistributio otaayaniitiiiiiiiialaii.liii
mtarai.it Ieiini iim
ia'You
reaiesnewnessissummery
meanandmediandescribethecenterofquantitativedata
standardDeviationaveragedistancefromthemean and interquartile
Rangeliar arenumericalsummariesthatdescribe variability
i iii
measure is pp
712
IIIiii
mean SD
E.IE Iron
Sd
distribution quantitativedataisnormalunimodal symmetricbell
shape valueofshasamorepreciseinterpretation