{"id":8837,"date":"2023-03-07T00:57:12","date_gmt":"2023-03-07T00:57:12","guid":{"rendered":"https:\/\/www.goodacademic.com\/blog\/questions\/im-working-on-a-statistics-project-and-need-the-explanation-and-answer-to-help-me-learn\/"},"modified":"2023-03-07T00:57:12","modified_gmt":"2023-03-07T00:57:12","slug":"im-working-on-a-statistics-project-and-need-the-explanation-and-answer-to-help-me-learn","status":"publish","type":"questions","link":"https:\/\/www.goodacademic.com\/blog\/questions\/im-working-on-a-statistics-project-and-need-the-explanation-and-answer-to-help-me-learn\/","title":{"rendered":"I’m working on a statistics project and need the explanation and answer to help me learn."},"content":{"rendered":"
\n Learning Goal: <\/b>I’m working on a statistics project and need the explanation and answer to help me learn.<\/p>\n

Project<\/span> #2:<\/span><\/p>\n

Part-I:<\/span> Exploring<\/span> beyond<\/span> One-way<\/span> ANOVA with<\/span> simulated<\/span> data.<\/span><\/span><\/p>\n


What<\/span> if<\/span> there<\/span> exist<\/span> huge<\/span> imbalances<\/span> among<\/span> sample<\/span> sizes<\/span>
{<\/span>n<\/span>1<\/span>,<\/span>n<\/span>2<\/span>,..,<\/span>n<\/span>K<\/span> }<\/span>?<\/span> For<\/span> instance,<\/span> n<\/span>1<\/span> =<\/span> n<\/span>2<\/span> =<\/span> ..<\/span> =<\/span> n<\/span>K<\/span> \u00e2\u02c6\u2019<\/span>1<\/span> = 100<\/span>,<\/span> but<\/span>
n<\/span>K<\/span> = 10<\/span>6<\/span>.<\/span>
What<\/span> if<\/span> the<\/span> equal<\/span> variance<\/span> assumption<\/span> is<\/span> violated?<\/span> That<\/span> is,<\/span>
members<\/span> of<\/span> {<\/span>\u00cf\u0192<\/span>21<\/span> ,\u00cf\u0192<\/span>22<\/span> ,..,\u00cf\u0192<\/span>2<\/span>K<\/span> }<\/span> are<\/span> not<\/span> all<\/span> equal.<\/span>
What<\/span> if<\/span> the<\/span> Normality<\/span> assumption<\/span> is<\/span> violated?<\/span>
What<\/span> if<\/span> you<\/span> want<\/span> to<\/span> discover<\/span> the<\/span> community<\/span> structures<\/span> among<\/span> the<\/span>
K<\/span> samples?<\/span><\/span><\/p>\n

Part-II:<\/span> Exploring<\/span> beyond<\/span> One-way<\/span> ANOVA with<\/span> Kaggle<\/span> data.<\/span><\/span><\/span><\/p>\n

BRFSS 2015 dataset on Kaggle https:\/\/www.kaggle.com\/alexteboul\/heart-disease-he…<\/a><\/p>\n

Divide<\/span> the<\/span> entire<\/span> data<\/span> set<\/span> into<\/span> 32(=<\/span> K<\/span> )<\/span> samples<\/span> with<\/span> respect<\/span> to<\/span> 5<\/span>
binary<\/span> variables<\/span> of<\/span> your<\/span> choices,<\/span> for<\/span> instance,<\/span> HD,<\/span> Sex,<\/span> Stroke,<\/span>
Blood-pressure,<\/span> Cholesterol.<\/span> Compare<\/span> the<\/span> 32<\/span> BMI<\/span> distributions.<\/span>
Perform<\/span> the<\/span> one-way<\/span> ANOVA<\/span> and<\/span> Tukey-Kramer\u00e2\u20ac\u2122s<\/span> simultaneous<\/span>
pairwise<\/span> comparison<\/span> as<\/span> if<\/span> all<\/span> Normality<\/span> and<\/span> equal-variance<\/span>
assumptions<\/span> hold.<\/span> Check<\/span> whether<\/span> the<\/span> equal<\/span> variance<\/span> assumption<\/span> is<\/span>
violated?<\/span> That<\/span> is,<\/span> members<\/span> of<\/span> {<\/span>\u00cf\u0192<\/span>21<\/span> ,\u00cf\u0192<\/span>22<\/span> ,..,\u00cf\u0192<\/span>2<\/span>K<\/span> }<\/span> are<\/span> not<\/span> all<\/span> equal.<\/span>
Check<\/span> whether<\/span> the<\/span> Normality<\/span> assumption<\/span> is<\/span> violated?<\/span>
Construct<\/span> HC-tree<\/span> to<\/span> discover<\/span> the<\/span> community<\/span> structures<\/span> among<\/span> the<\/span>
K<\/span> samples?<\/span>
Compare<\/span> results<\/span> from<\/span> ANOVA<\/span> and<\/span> and<\/span> Tukey-Kramer\u00e2\u20ac\u2122s<\/span> comparison<\/span>
with<\/span> results<\/span> found<\/span> in<\/span> HC-tree.<\/span><\/span><\/p>\n


<\/span><\/p>\n

Please use RStudio and see Two part question and Lecture.<\/span><\/p>\n

\n

Requirements: pdf<\/p>\n<\/p><\/div>\n<\/div>\n","protected":false},"excerpt":{"rendered":"

Learning Goal: I’m working on a statistics project and need the explanation and answer to help me learn. Project #2: Part-I: Exploring beyond One-way ANOVA with simulated data. What if there exist huge imbalances among sample sizes{n1,n2,..,nK }? For instance, n1 = n2 = .. = nK \u00e2\u02c6\u20191 = 100, butnK = 106.What if the […]<\/p>\n","protected":false},"author":3,"featured_media":0,"comment_status":"open","ping_status":"closed","template":"","meta":[],"disciplines":[658],"paper_types":[],"tagged":[],"aioseo_notices":[],"_links":{"self":[{"href":"https:\/\/www.goodacademic.com\/blog\/wp-json\/wp\/v2\/questions\/8837"}],"collection":[{"href":"https:\/\/www.goodacademic.com\/blog\/wp-json\/wp\/v2\/questions"}],"about":[{"href":"https:\/\/www.goodacademic.com\/blog\/wp-json\/wp\/v2\/types\/questions"}],"author":[{"embeddable":true,"href":"https:\/\/www.goodacademic.com\/blog\/wp-json\/wp\/v2\/users\/3"}],"replies":[{"embeddable":true,"href":"https:\/\/www.goodacademic.com\/blog\/wp-json\/wp\/v2\/comments?post=8837"}],"version-history":[{"count":0,"href":"https:\/\/www.goodacademic.com\/blog\/wp-json\/wp\/v2\/questions\/8837\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.goodacademic.com\/blog\/wp-json\/wp\/v2\/media?parent=8837"}],"wp:term":[{"taxonomy":"disciplines","embeddable":true,"href":"https:\/\/www.goodacademic.com\/blog\/wp-json\/wp\/v2\/disciplines?post=8837"},{"taxonomy":"paper_types","embeddable":true,"href":"https:\/\/www.goodacademic.com\/blog\/wp-json\/wp\/v2\/paper_types?post=8837"},{"taxonomy":"tagged","embeddable":true,"href":"https:\/\/www.goodacademic.com\/blog\/wp-json\/wp\/v2\/tagged?post=8837"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}