This document details a statistical analysis of the top six leading causes of death in Kansas, Missouri, and Nebraska from 2012-2013. Descriptive statistics such as frequencies, percentages, measures of central tendency and variability, and correlations were calculated for variables including state, cause of death, number of deaths, and age-adjusted death rate. Independent samples t-tests and Pearson correlations found no significant differences in number of deaths between years or a strong positive correlation between number of deaths and age-adjusted death rate.
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Six Leading Causes of Death in Kansas, Missouri, and Nebraska in the Years 2012 and 2013: A Statistical Analysis
1. Final Project|Stephanie Bax
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Six Leading Causes of Death in Kansas, Missouri, and Nebraska
in the Years 2012 and 2013
Stephanie Bax | Final Project | May 10, 2017
Thisprojectdetailsstatistical information regardingTopLeadingCausesof Deathinthe United
States.I wasparticularlyinterestedinthisdatasetbecause Ihave beenanurse forthe past 3 years now,
workingina hospital settingwhereI care for people thatpresentwiththese diseasesevery day.I
receivedmyBachelorsof Science inNursingfromCreightonUniversityinNebraskabutmovedback
home to practice NursinginKansasand Missouri.Thus,Ihave decidedtonarrow my data to these three
significantstates.
Belowisa table outliningthe variables,level of measurement, examplesof eachvariable,and
meaning. A directlinkisprovided tothe CDCWebsite andthis dataset.Thisdatasetwasnarroweddown
fromthe original datasetsignificantlysothatappropriate statistics couldbe run. Those variables which
were selectedare detailedinthe table below.
Programs usedinthis statistical analysiswere:RStudioprogrammingsoftware,MicrosoftExcel,
and MicrosoftWord. Descriptive statisticsfornominal,ordinal,interval,andratiovariableswere run
withappropriate variable levels.Distributions,percentiles,andgraphsaswell asmeans,medians,and
standarddeviationsare showntoevaluate the datafurther.MultipleRStudiosoftware outputwasrun
for correlational andgroupcomparisonanalysis.These were:IndependentSample T-Test,Pearson
Correlation,RegressionAnalysis,ANOVA,andChi Square forIndependentVariables.Eachoutput hasa
detailed9-StepHypothesisTesttoaccompanythe statistics.Toconclude,eachcategorical piece inthis
projecthas an individual write-uptosummarize the statistical findings.
https://blogs.cdc.gov/nchs-data-visualization/leading-causes-of-death/
Variable Level of Measurement Data Entries/Example Meaning
YEAR Ordinal 2012,
2013
Year the death occurred
CAUSE_NAME Nominal Homicide,
Stroke,
Chronic liver diseaseand
cirrhosis,
Diseases of Heart,
Suicide,
Septicemia
Causeof death
STATE Nominal Kansas,
Missouri,
Nebraska
States in which the
deaths occurred
DEATHS Numerical Example: 103 Number of deaths
AADR Ratio Example: 3.84 Age Adjusted Death Rate
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For thisassignment,youwillneedtoidentifyadatasetof interesttoyou, conductanalysesonthe data
set,and thenprovide anAPA style write upof yourresults.The final projectshouldinclude:
1. Software output for descriptive statistics about
both nominal/ordinal and interval/ratio variables
- Each variables’measure issettothe appropriate level (i.e.nominal,ordinal,orscale) 10 pts.
Variables and Appropriate Levels
a. Importthe .csv file toRStudio,create a new RScriptandsave it as Final Project - done
b. Ensure all variablesare labeledcorrectly(nominal –is.factor,interval/ratio –is.numeric,
and ordinal – is.ordered).Use the strcommandto view datasetdetails.
> View(USADeathCauses)
> is.ordered(USADeathCauses$YEAR)
[1] FALSE
> is.factor(USADeathCauses$CAUSE_NAME)
[1] FALSE
> is.factor(USADeathCauses$STATE)
[1] FALSE
> is.numeric(USADeathCauses$DEATHS)
[1] TRUE
> is.numeric(USADeathCauses$AADR)
[1] TRUE
> USADeathCauses$YEAR = factor(USADeathCauses$YEAR, levels = c("2012", "2013"
), ordered = TRUE)
> is.ordered(USADeathCauses$YEAR)
[1] TRUE
> USADeathCauses$CAUSE_NAME = factor(USADeathCauses$CAUSE_NAME, levels = c("H
omicide", "Stroke", "Chronic liver disease and cirrhosis", "Diseases of Heart
", "Suicide", "Septicemia"), ordered = TRUE)
> is.factor(USADeathCauses$CAUSE_NAME)
[1] TRUE
> USADeathCauses$STATE = factor(USADeathCauses$STATE, levels = c("Kansas", "M
issouri", "Nebraska"), ordered = TRUE)
> is.factor(USADeathCauses$STATE)
[1] TRUE
> str(object = USADeathCauses)
Classes ‘tbl_df’, ‘tbl’ and 'data.frame': 36 obs. of 5 variables:
$ YEAR : Ord.factor w/ 2 levels "2012"<"2013": 1 1 1 1 1 1 1 1 1 1 ...
$ CAUSE_NAME: Ord.factor w/ 6 levels "Homicide"<"Stroke"<..: 1 1 1 2 2 2 3 3
3 4 ...
$ STATE : Ord.factor w/ 3 levels "Kansas"<"Missouri"<..: 1 2 3 1 2 3 1 2
3 1 ...
$ DEATHS : num 103 424 64 1343 2989 ...
$ AADR : num 3.84 7.32 3.53 39.36 42.22 ...
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Distributions, Percentiles, and Graphs
c. Were there anyoutliersintermsof Deaths?
Yes.There are outliersin the 1400 range of deaths.
> boxplot(USADeathCauses$DEATHS)
d. Provide ahistogramfor the AADR variable.
> hist(USADeathCauses$AADR)
e. What were the frequenciesandpercent’s forthe nominal andordinal variables?
> statestable=table(USADeathCauses$STATE)
> View(statestable)
> Kansas= 12, Missouri = 12, Nebraska= 12
Variable Frequency
Kansas 12
Missouri 12
Nebraska 12
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f. Provide abar chart forthe statesvariable.
> plot(USADeathCauses$STATE)
g. Create a newvariable codedasNONMEDICALand MEDICAL thenprovide frequencies
and percentagesforeachcategory.
> make sure ‘car’ package isclicked
> ie.NONMEDICALwouldbe considered –Homicide,Suicide
> ie.MEDICAL wouldbe considered –Stroke,Chronicliverdisease andcirrhosis,Diseasesof
Heart,Septicemia
> library("car", lib.loc="~/R/win-library/3.3")
> USADeathCauses$CAUSE_NAMELH=recode(USADeathCauses$CAUSE_NAME, "'Homicide'='
NONMEDICAL'; 'Suicide'='NONMEDICAL'; 'Stroke'='MEDICAL'; 'Chronic liver disea
se and cirrhosis'='MEDICAL'; 'Diseases of Heart'='MEDICAL'; 'Septicemia'='MED
ICAL'")
> USADeathCauses$CAUSE_NAMELH = factor(USADeathCauses$CAUSE_NAMELH, levels =
c("NONMEDICAL", "MEDICAL"), ordered = TRUE)
> CAUSE_NAMELHtable=table(USADeathCauses$CAUSE_NAMELH)
> View(CAUSE_NAMELHtable)
Nonmedical:12,Medical:24
Variable Frequency
NONMEDICAL 12
MEDICAL 24
> CAUSE_NAMELHpercent=prop.table(CAUSE_NAMELHtable)
> View(CAUSE_NAMELHpercent)
Nonmedical:33%,Medical:67%
Variable Percent
NONMEDICAL 0.333333
MEDICAL 0.666667
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Measures of Central Tendency & Variability
h. Obtainmeans,medians,andstandarddeviationsforthe appropriate variables
(numerical variables- deaths,AADR) inyourfull datasetandrecord themina table.
> DescFull=describe(USADeathCauses)
> View(DescFull)
Table All
Variable Mean Standard Deviation Median
Deaths 1790.03 3293.06 538.00
AADR 40.28 58.82 11.44
i. Subsetthe data forKansas onlyandthenobtainthe means,medians,andstandard
deviationsforthe appropriate variablesandrecordthemina table.
> attach(USADeathCauses)
> Kansasonly=subset(USADeathCauses, STATE=="Kansas",select = DEATHS:AADR)
> DescKansas = describe(Kansasonly)
> View(DescKansas)
> detach(USADeathCauses)
Subset Table Kansas Only
Variable Mean Standard Deviation Median
Deaths 1313.75 1936.41 394.50
AADR 39.11 56.38 12.82
2. Software output for correlational and group comparison
analyses
- Correctstatisticsare run. 6 pts.
***Independent Samples T-Test***
Were there significant differences between the years 2012 and 2013 on number of deaths?
a. Use the “t.test”command to investigate the following(Assessassumptionsforeach
analysisandnote anypossible concerns):
IndependentSampleT-Test- 9 StepHypothesisTesting:
1) H0: No significantdifferencesexistbetween the yearsonnumberof deaths.
2) H1: Significantdifferencesexistbetweenthe yearsonnumberof deaths.
3) Test: IndependentSamplesT-Test
- Assumptions:1) Our dependentoroutcome variable isatleastinterval,2) Our
twosamplesare independentof one another,3) Ourdependentoroutcome
variable followsanormal curve,4) The variancesbetweenourtwogroupsare
homogenousorsimilar.
4) Alpha:.05
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> normalitydeaths = shapiro.test(USADeathCauses$DEATHS)
> normalitydeaths
Shapiro-Wilk normality test
data: USADeathCauses$DEATHS
W = 0.53738, p-value = 1.729e-09
The above is the resultsforour normalityassumptiontest.Since the p-value forthisisbeyondthe alpha
value,we rejectthe null andconclude thatthe normalityassumptionisnotmet.But,because ourt-testi
s robust, we continue withthe analysis.
> hovdeaths = leveneTest(USADeathCauses$DEATHS, USADeathCauses$YEAR)
> detach("package:psych", unload=TRUE)
> library("car", lib.loc="~/R/win-library/3.3")
> hovdeaths = leveneTest(USADeathCauses$DEATHS, USADeathCauses$YEAR)
> hovdeaths
Levene's Test for Homogeneity of Variance (center = median)
Df F value Pr(>F)
group 1 9e-04 0.9767
34
The above are the resultsforour homogeneityof variance assumptiontesting.Since ourpvalue is
beyondouralphavalue of .05, we acceptthe null andnote that the HOV has beenmet.Since bothof
these assumptionshave beenmet,we cancontinue ontorun our IndependentSample T-Test.
> indepttest = t.test(USADeathCauses$DEATHS~USADeathCauses$YEAR, var.equal =
TRUE)
> indepttest
Two Sample t-test
data: USADeathCauses$DEATHS by USADeathCauses$YEAR
t = -0.020901, df = 34, p-value = 0.9834
alternative hypothesis: true difference in means is not equal to 0
95 percent confidence interval:
-2286.599 2240.044
sample estimates:
mean in group 2012 mean in group 2013
1778.389 1801.667
> detach("package:car", unload=TRUE)
> library("psych", lib.loc="~/R/win-library/3.3")
> describeBy(USADeathCauses$DEATHS, group = USADeathCauses$YEAR)
$`2012`
vars n mean sd median trimmed mad min max range skew kurtosi
s
X1 1 18 1778.39 3303.22 538 1137.81 547.82 64 13742 13678 2.66 6.6
7
se
X1 778.58
$`2013`
vars n mean sd median trimmed mad min max range skew kurtosi
s
X1 1 18 1801.67 3378.58 511.5 1141.25 530.77 75 14095 14020 2.69 6.8
4
se
X1 796.34
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attr(,"call")
by.default(data = x, INDICES = group, FUN = describe, type = type)
5) df: 34
6) Critical Value:p> .05, (p= .98)
7) CalculatedValue:t= -0.02
8) Decision:Because the pvalue isnotbeyondthe alphavalue,we fail toreject
the null,acceptnull H0.
9) Interpretation: Nosignificantdifferencesexistbetweenthe years2012 and
2013 on numberof deaths.
***Pearson Correlation***
Test the null hypothesis that no relationship between number of deaths (DEATHS) and Age
Adjusted Death Rate (AADR).
b. PearsonCorrelation - 9 StepHypothesisTesting:
i. Assumptions:1) Measurement;Eachvariable isassociatedwithone case inour
dataset2) Level of Measurement;Both variablesare atleastinterval innature.
3) Linearity;The variablesrelatetoeachother in a linearfashion (tobe
evaluated).
> attach(USADeathCauses)
> plot(DEATHS, AADR)
The above scatterplotdatawas providedtoevaluate the assumptionof linearity.Itisnotedthatthere
are some outlierswithinthe datasetinregardstoAADRand Deaths.
c. Create a matrix for calculatingbivariate correlations:
> correlation = data.frame(DEATHS, AADR)
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> correlationm = as.matrix(correlation)
> library("Hmisc", lib.loc="~/R/win-library/3.3")
> correlatem = rcorr(correlationm)
> correlatem
DEATHS AADR
DEATHS 1.00 0.88
AADR 0.88 1.00
n= 36
P
DEATHS AADR
DEATHS 0
AADR 0
d. Create a table in yourdocumentthatdisplayseachvariable’smean,standarddeviation,
and bivariate correlationcoefficients,starringthose thatare significant
> describe(USADeathCauses)
vars n mean sd median trimmed mad min max
range
YEAR* 1 36 1.50 0.51 1.50 1.50 0.74 1.00 2.0
1.00
CAUSE_NAME* 2 36 3.50 1.73 3.50 3.50 2.22 1.00 6.0
5.00
STATE* 3 36 2.00 0.83 2.00 2.00 1.48 1.00 3.0
2.00
DEATHS 4 36 1790.03 3293.06 538.00 1033.20 547.82 64.00 14095.0 140
31.00
AADR 5 36 40.28 58.82 11.44 29.74 8.55 3.53 194.7 1
91.17
CAUSE_NAMELH* 6 36 1.67 0.48 2.00 1.70 0.00 1.00 2.0
1.00
skew kurtosis se
YEAR* 0.00 -2.05 0.08
CAUSE_NAME* 0.00 -1.36 0.29
STATE* 0.00 -1.58 0.14
DEATHS 2.80 7.34 548.84
AADR 1.66 1.13 9.80
CAUSE_NAMELH* -0.68 -1.58 0.08
Table PCorr Mean SD DEATHS AADR
DEATHS 1790.03 3293.06 --- .88***
AADR 40.28 58.82 .88*** ---
*significantatalphalevel .05
**significantatalphalevel .01
***significantatalphalevel .001
To determine significance –goto pg 185 and view “Critical Valueof Pearsonsr”table.Since ourdf is 36 -
2 = 34, we use the df of 30 whichroundsupto our df of 34. We thenview the valuesunderTwo-Tailed
or Nondirectionaltestfor.05 (.3494), .01 (.4487), and.001 (.5541). Whenplottedona normal curve,.88
fallstothe rightof these values,makingitsignificantatall three alphalevels.
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e. PearsonCorrelation –9 StepHypothesisTesting:
1) H0: No significantrelationshipexistsbetweennumberof deaths(DEATHS) andAge AdjustedDeath
Rates(AADR).
2) H1: A significantrelationshipexistsbetweennumberof deaths(DEATHS) andAge AdjustedDeath
Rates(AADR).
3) Test: PearsonCorrelation
4) Alpha:.05
5) df: N-2=> 36 – 2 = 34
6) Critical Value:p< .001, p < .05
7) CalculatedValue:0.88
8) Decision:Since ourpvalue isbeyondouralphalevel,we rejectH0and acceptH1.
9) Interpretation:There wasasignificantpositive correlation(0.88) betweennumberof deaths
(DEATHS) and Age AdjustedDeathRates(AADR).
***Regression Analysis***
Does number of deaths significantly predict AADR?
> regDEATHSAADR = lm(USADeathCauses$DEATHS~USADeathCauses$AADR)
> regDEATHSAADR
Call:
lm(formula = USADeathCauses$DEATHS ~ USADeathCauses$AADR)
Coefficients:
(Intercept) USADeathCauses$AADR
-199.93 49.41
> summary(regDEATHSAADR)
Call:
lm(formula = USADeathCauses$DEATHS ~ USADeathCauses$AADR)
Residuals:
Min 1Q Median 3Q Max
-3749.8 -166.2 58.3 366.9 4675.7
Coefficients:
Estimate Std. Error t value Pr(>|t|)
(Intercept) -199.931 318.800 -0.627 0.535
USADeathCauses$AADR 49.406 4.515 10.943 1.1e-12***
(Intercept)
USADeathCauses$AADR ***
---
Signif. codes:
0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’ 1
Residual standard error: 1571 on 34 degrees of freedom
Multiple R-squared: 0.7789, Adjusted R-squared: 0.7724
F-statistic: 119.8 on 1 and 34 DF, p-value: 1.103e-12***
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*significantatalpha.05
**significantatalpha.01
***significantatalpha.001
Our p value forthe F-testislessthanour alphavalue.Itis beyondouralphavalue.So,we reject the null
and acceptH1. Since our F-testwassignificant,we evaluate ourpredictorviathe t-test.
i. RegressionAnalysis –9 StepHypothesisTesting:
1) H0: Our regressionmodelwithnumberof deathsdoesnotsignificantly
predictAADR.
2) H1: Our regressionmodelwithnumberof deathsdoessignificantlypredict
AADR.
3) Test: Regression
- Assumptionstobe aware of:Independence,Homogeneity,Normality,Linearity
4) Alpha:.05
5) df: 1, 34
6) Critical Value:
F = p < .05, p < .001 (p= 1.103e-12 for F-test) and
t = p < .05, p < .001 (p = 1.1e-12 fort-test)
7) CalculatedValue:F= 119.8, t = 10.943
8) Decision:Since ourp-value forourF-testandt-testwere significant,we reject
the null forthe model andfornumberof deaths.We accept alternate H1.
9) Interpretation: Ourregressionmodelwassignificantandaccountedfor77%
of the variance inAADR(AdjustedR^2= 0.772) AADR. Numberof deaths
significantlyandpositivelypredictedAADR.
ii. If numberof deathswas300, what isthe predicted AADR?
- We knowthat Y’ = a + bX
- Seeingabove thatouroutputgeneratedthe intercept(-199.93) andslope
(49.41), we can predictthe AADRfor numberof deathsof 300 wouldbe 14623.07.
> AADRy = -199.93 + 49.41*300
> AADRy
[1] 14623.07
***ANOVA***
Did causes of death (CAUSE_NAME) differ in terms of number of deaths (DEATHS)?
f. Use the “lm” and then“anova”commandsto investigate the following:
i. Did causesof death(CAUSE_NAME) differintermsof numberof deaths
(deaths)?
> causenameondeaths = lm(USADeathCauses$DEATHS~USADeathCauses$CAUSE_NAME)
> causenameondeaths
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Call:
lm(formula = USADeathCauses$DEATHS ~ USADeathCauses$CAUSE_NAME)
Coefficients:
(Intercept) USADeathCauses$CAUSE_NAME.L
1790.0 583.8
USADeathCauses$CAUSE_NAME.Q USADeathCauses$CAUSE_NAME.C
-3344.9 -1460.1
USADeathCauses$CAUSE_NAME^4 USADeathCauses$CAUSE_NAME^5
1826.1 4916.8
> causenameondeathsanova = anova(causenameondeaths)
> causenameondeathsanova
Analysis of Variance Table
Response: USADeathCauses$DEATHS
Df Sum Sq Mean Sq F value
USADeathCauses$CAUSE_NAME 5 247027691 49405538 11.184
Residuals 30 132521116 4417371
Pr(>F)
USADeathCauses$CAUSE_NAME 3.799e-06 ***
Residuals
---
Signif. codes:
0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’ 1
> describeBy(USADeathCauses$DEATHS, group = USADeathCauses$CAUSE_NAME)
> library("psych", lib.loc="~/R/win-library/3.3")
> describeBy(USADeathCauses$DEATHS, group = USADeathCauses$CAUSE_NAME)
$Homicide
vars n mean sd median trimmed mad min max range
X1 1 6 195.83 165.74 110 195.83 60.05 64 424 360
skew kurtosis se
X1 0.52 -1.94 67.66
$Stroke
vars n mean sd median trimmed mad min max
X1 1 6 1697.17 1008.64 1331.5 1697.17 790.97 776 2989
range skew kurtosis se
X1 2213 0.41 -1.96 411.77
$`Chronic liver disease and cirrhosis`
vars n mean sd median trimmed mad min max
X1 1 6 337.67 195.12 249 337.67 105.26 175 598
range skew kurtosis se
X1 423 0.48 -1.95 79.66
$`Diseases of Heart`
vars n mean sd median trimmed mad min max
X1 1 6 7542.5 5022.14 5365 7542.5 2996.33 3307 14095
range skew kurtosis se
X1 10788 0.46 -1.96 2050.28
$Suicide
vars n mean sd median trimmed mad min max
X1 1 6 542.17 325.02 463.5 542.17 352.12 220 960
range skew kurtosis se
X1 740 0.29 -1.96 132.69
$Septicemia
vars n mean sd median trimmed mad min max
X1 1 6 424.83 306.23 363.5 424.83 364.72 109 809
range skew kurtosis se
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X1 700 0.24 -1.95 125.02
attr(,"call")
by.default(data = x, INDICES = group, FUN = describe, type = type)
g. Create an ANOVA table of the resultsinyourWordfile
Variance SS df MS F-ratio
BetweenGroups 247027691 5 49405538 11.184***
WithinGroups 132521116 30 4417371 ---
Totals 379548807 35 --- ---
*significantatalpha.05
**significantatalpha.01
***significantatalpha.001
h. ANOVA –9 StepHypothesisTesting:
1) H0: There are nodifferencesbetweencauses of death(CAUSE_NAME) andnumberof
deaths(DEATHS).
2) H1: There are differencesbetweencausesof death(CAUSE_NAME) andnumberof
deaths(DEATHS).
3) Test: One-way,Fixed ANOVA
- Assumptionstobe aware of:Independence,Normality,Homogeneity
4) Alpha:.05
5) df: 5, 30
6) Critical Value:F= p < .05, p < .001
7) CalculatedValue:F= 11.18
8) Decision:Since ourp-value forthe F-testisbeyondouralphavalue,we rejectthe null.
9) Interpretation:There weresignificantdifferencesbetweencausesof death
(CAUSE_NAME) and numberof deaths(DEATHS).
***Chi Square for Independent Values***
Did the state (STATE) in which the death occurred depend on the cause of death?
> indepstate = chisq.test(USADeathCauses$STATE, USADeathCauses$CAUSE_NAME)
> indepstate
Pearson's Chi-squared test
data: USADeathCauses$STATE and USADeathCauses$CAUSE_NAME
X-squared = 0, df = 10, p-value = 1
> indepstate$expected
USADeathCauses$CAUSE_NAME
USADeathCauses$STATE Homicide Stroke Chronic liver disease and cirrhosis
Kansas 2 2 2
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Missouri 2 2 2
Nebraska 2 2 2
USADeathCauses$CAUSE_NAME
USADeathCauses$STATE Diseases of Heart Suicide Septicemia
Kansas 2 2 2
Missouri 2 2 2
Nebraska 2 2 2
> indepstate$observed
USADeathCauses$CAUSE_NAME
USADeathCauses$STATE Homicide Stroke Chronic liver disease and cirrhosis
Kansas 2 2 2
Missouri 2 2 2
Nebraska 2 2 2
USADeathCauses$CAUSE_NAME
USADeathCauses$STATE Diseases of Heart Suicide Septicemia
Kansas 2 2 2
Missouri 2 2 2
Nebraska 2 2 2
This was to conduct the continuity assumption. Here we see that no expected f
requency was below 2.
Chi Square – 9 StepHypothesisTesting:
1) H0: The cause of death(CAUSE_NAME) is notdependentonthe state (STATE).
2) H1: The cause of death(CAUSE_NAME) is dependentonthe state (STATE).
3) Test: Chi-Square forIndependence of Categorical Values
4) Alpha:.05
5) df: 10
6) Critical Value:1,p > .05
7) CalculatedValue:X^2= 0
8) Decision:Since ourp-value forthe Chi Square testisnotbeyondouralphavalue,we fail torejectthe
null,acceptH0.
9) Interpretation:The cause of death(CAUSE_NAME) wasnotdependentonstate (STATE).
3. An APA write up of the descriptive, correlational, and group
comparison analyses with supporting tables
- Table outputiscorrect use of APA style foreach table includingindicatingthe variablesthat
are significant.14pts.
- Interpretationof analysesiscorrectandmeansand SDs are giveninthe write up. 10 pts.
a. Distributions,Percentiles,andGraphs – Write Up
i. There were six causesof deathevaluatedwithinthree statesovertwo
years,makingup36 cases inthisFinal Project. The six causesof deathwere:
Homicide,Stroke,Chronicliverdisease andcirrhosis,Diseasesof the Heart,
Suicide,andSepticemia.The statesinwhichthese deathsoccurredwere Kansas,
Missouri,andNebraska.These occurredovera periodof twoyearsin2012 and
2013.
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Of these 36 cases,12 of themwere inKansas,12 of themwere in
Missouri,and12 of themwere inNebraska.Thismade up 33% eachfor Kansas,
Missouri,andNebraska. These occurredovertwoyearsof 2012 and 2013, with
18 (or 50%) of cases beingin2012 and18 (or50%) of casesbeingin2013.
Additionally,of the 36 cases,6 (17%) were due toHomicide,6 (17%) were due
to Stroke,6 (17%) were due toChronicliverdisease andcirrhosis, 6(17%) were
due to Diseasesof Heart, 6 (17%) were due toSuicide,and6 (17%) were due to
Septicemia.
Of the 34 cases,12 (or 33%) were deemedNon-Medical,meaningdeath
relatedtoeitherHomicide orSuicide.The other24 cases (or66%) were deemed
Medicallyrelateddeathsdue toeitherDiseasesof the Heart,Stroke,
Septicemia,orChronicliverdiseaseand cirrhosis.
In thisFinal Project,the nominal andordinal variablesare:state
(STATE),cause of death(CAUSE_NAME),and type of death(MEDICAL or
NONMEDICAL). The interval andratiovariableswere:numberof deaths
(DEATHS) and Age AdjustedDeathRate (AADR).
b. Measuresof Central Tendency& Variability – Write Up
i. We collecteddataaboutDeaths(M= 1790.03, SD = 3293.06) andAADR (M=
40.28, SD = 58.82). Descriptives forthe state of Kansasonlyspecificallywere:
Deaths(M= 1313.75, SD 1936.41) and AADR (M= 39.11, SD = 56.38).
c. IndependentSample T-Test– Write Up
i. We assesseddifferencesinnumberof deathsbetween the twoyearswithan
independentsamplest-test.Priortoconductingthe test,assumptionsfor
normalityandhomogeneityof variance were assessedandwere bothmetand
all otherassumptionswere supported. The ShapiroWilkstestfoundthatour
differencesdidfollow anormal curve (p> .05). The resultof our t-test,t(34) = -
0.02, p > .05, suggeststhatno significantdifferencesexistbetweenthe years
2012 and 2013 on numberof deaths.
d. Pearson Correlation– Write Up
i. Means,standard deviations,andcorrelationsforourfull datasetare listed in
Table PCorr above.All assumptionswereevaluatedandgenerallymet.Intesting
our linearityassumption,alinearfashionof datapointswasnotedwithsome
outlierswithinthe scatterplotshownabove,sothe resultsshouldbe
interpretedwithsomecaution. We were particularlyinterestedinthe
correlationbetweendeaths(M= 1790.03, SD = 3293.06) and AADR(M= 40.28,
SD = 58.82) inour full dataset,andwe founda strong, positive correlation,r(34)
= .88, p < .001, existed.
e. Regression– Write Up
i. Regressionanalysiswasusedtotestif numberof deaths(DEATHS) significantly
predictedAge AdjustedDeathRates(AADR).The resultssuggestthe model did
significantlypredictAADRwithalarge effectsize (R^2= .772, F(1,34) = 119.80,
p < .001). Deaths(t(34) = 10.94, p < .001) was a significantpredictorof AADR
witha 49.41 increase inAADRforeveryone unit increase innumberof deaths.
16. Final Project|Stephanie Bax
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Coefficientof determination(R^2):
Small effect=.01 to .09
Mediumeffect=.09 to .25
Large effect=> .25
f. ANOVA– Write Up
i. A one-wayANOVAindicatedthatcause of deathwassignificantlydifferentin
regardsto numberof deaths; F (5, 30) = 11.18, p < .05, p < .001. Diseasesof the
Heart (M= 7542.5, SD = 5022.14) had the highestnumberof deathsof the six
causesand Homicide (M= 195.83, SD = 165.74) had the lowestnumberof
deathsof the six causes.
g. Chi Square – Write Up
i. A Chi-Square TestforIndependence wasperformedtodetermine if cause of
death(CAUSE_NAME) wasdependent state inwhichthe death occurred
(STATE).Assumptionsforthe chi square testwere met.Resultssuggestthat
there were nosignificantdifferencesbetweenCAUSE_NAMEandSTATE, X^2
(10, N = 36) = 0, p > .05.
The above three componentsshouldbe savedto a folderon your computer named "Final Project"
(use the course analysis projectsas guidesfor thisprocess). Whencomplete,the foldershouldbe
compressedand uploadedto this assignment.