Statistics and Applied Data Analysis Specialization

Statistics and Applied Data Analysis Specialization

English | MP4 | AVC 1280×720 | AAC 44KHz 2ch | 184 Lessons (25h 12m) | 4.13 GB

Learn Statistics in Excel and RStudio. Learn statistics from ground zero then utilize Excel and RStudio for statistical calculations and data visualization.

What you’ll learn

  • Create mathematical regression models that can be used in a predictive manner.
  • Perform one-sample and two-sample statistical hypothesis tests.
  • Perform a variety of statistical tests, create regression models, and analyze data using Microsoft Excel as well as R (RStudio).

Skills you’ll gain

  • Statistics
  • Data Analytics
  • Microsoft Excel
  • Data Analysis
  • RStudio

A comprehensive understanding of statistics and data analysis is paramount for the fields of data science, data analytics, and machine learning. In the first course of this specialization, you will learn traditional and applied statistics (descriptive statistics, probability, and discrete and continuous probability distributions) from ground zero (i.e., beginner level).

The second course is all about inferential statistics and making decisions (sampling distributions, one- and two-sample hypothesis tests, analysis of variance) and creating predictive mathematical models (linear and nonlinear regression). Throughout both of the first two courses, you will learn how to visualize data and solve various statistical problems using Microsoft Excel.

In the final course of the specialization, you will use the statistical computing software R (using RStudio) for statistical hypothesis tests, data visualization, and analysis of variance (ANOVA).

Applied Learning Project
Parts 1 and 2 of the specialization have “guided” workshop quizzes during each week of the course for learners to work along with the instructor through relevant and exciting statistics related problems. In Part 3 of the course, assignments are in-application (i.e., in the programming language R) and are submitted online.

Table of Contents

statistics-and-data-analysis-with-excel-part-1

welcome

introduction-and-general-course-information
1 welcome-to-the-course
2 how-the-course-works
3 the-importance-of-a-course-certificate-and-the-future-of-higher-education_instructions
4 auditing-the-course-vs-purchasing-a-course-certificate_instructions
5 do-your-excel-skills-need-work_instructions
6 what-version-of-excel-do-you-need-for-this-course_instructions
7 is-it-data-are-or-data-is_instructions

statistics-and-data-analysis-an-introduction
8 introduction-to-statistics

descriptive-statistics-and-graphical-representation-of-data

week-2-cheat-sheet
9 week-2-cheat-sheet_instructions

descriptive-statistics
10 difference-between-population-and-sample
11 what-is-the-summation-symbol
12 descriptive-statistics
13 quartiles-and-percentiles

graphical-presentation-of-data
14 univariate-vs-bivariate-data
15 categorical-vs-numerical-data
16 histograms
17 scatter-plots-in-excel-part-1
18 scatter-plots-in-excel-part-2
19 column-and-pie-charts-in-excel
20 time-series-plots
21 box-plots

preparing-data-robust-estimators-and-removing-outliers
22 cleaning-data-in-excel
23 data-transformations
24 robust-estimators
25 removing-outliers

reinforce-your-learning
26 guided-workshop-2_instructions
27 guided-workshop-2-creating-a-histogram-in-excel

probability

week-3-cheat-sheet
28 week-3-cheat-sheet_instructions

sample-spaces-and-counting-techniques
29 introduction-to-probability-part-1
30 introduction-to-probability-part-2
31 sample-spaces-and-events
32 permutations-and-combinations
33 how-to-use-the-permut-and-combin-functions-in-excel

conditional-probability
34 probability-rules
35 conditional-probability
36 multiplication-rule
37 total-probability-rule
38 bayes-theorem

reinforce-your-learning
39 guided-workshop-3_instructions
40 guided-workshop-3-bayes-theorem-and-diagnostic-testing

discrete-probability-distributions

week-4-cheat-sheet
41 week-4-cheat-sheet_instructions

introduction
42 introduction-to-discrete-probability-distributions
43 probability-distributions
44 excel-functions-for-discrete-distributions_instructions

bernoulli-processes
45 the-binomial-distribution
46 the-geometric-distribution
47 the-negative-binomial-distribution
48 excels-negbinom-dist-function

sampling-without-replacement
49 the-hypergeometric-distribution
50 the-multinomial-distribution

poisson-process
51 the-poisson-distribution

joint-and-conditional-probability-distributions
52 joint-and-marginal-probability-distributions
53 conditional-probability-distributions

closing-the-loop
54 closing-the-loop

reinforce-your-learning
55 guided-workshop-4_instructions
56 guided-workshop-4-modeling-traffic-data

continuous-probability-distributions

week-5-cheat-sheet
57 week-5-cheat-sheet_instructions

introduction-to-continuous-distributions
58 introduction-to-continuous-distributions
59 continuous-variables-and-distributions
60 the-uniform-distribution
61 excel-functions-for-continuous-distributions_instructions
62 the-normal-distribution

standardizing
63 standardizing-and-z-values-part-1
64 standardizing-and-z-values-part-2
65 percentage-points-of-the-standard-normal-distribution-table_instructions
66 inverse-normal-distribution-calculations

other-continuous-distributions
67 exponential-distribution
68 other-continuous-distributions
69 example-beta-pert-distribution

probability-plots
70 probability-plots
71 how-to-use-the-probability-plot-xlsx-file

closing-the-loop
72 closing-the-loop

reinforce-your-learning
73 guided-workshop-5_instructions
74 guided-workshop-5-fitting-data-to-the-gamma-distribution

statistics-and-data-analysis-with-excel-part-2

introduction-and-review

welcome
75 welcome-to-the-course
76 how-the-course-works

course-basics
77 the-importance-of-a-course-certificate-and-the-future-of-higher-education_instructions
78 auditing-the-course-vs-purchasing-a-course-certificate_instructions
79 what-version-of-excel-do-you-need-for-this-course_instructions

optional-review-your-standardizing-skills
80 do-you-need-to-review_instructions
81 standardizing-and-z-values-part-1
82 standardizing-and-z-values-part-2
83 percentage-points-of-the-standard-normal-distribution-table_instructions
84 inverse-normal-distribution-calculations

sampling-distributions-and-the-central-limit-theorem

week-2-cheat-sheet
85 week-2-cheat-sheet_instructions

introduction-to-inferential-statistics
86 introduction-to-inferential-statistics
87 sampling-distribution-vs-population-distribution
88 the-central-limit-theorem
89 variance-known-or-unknown
90 confidence-interval-on-the-mean-variance-known

the-t-distribution
91 the-t-distribution
92 percentage-points-of-the-t-distribution-table_instructions
93 excel-functions-for-the-standard-normal-and-t-distributions_instructions
94 confidence-interval-on-the-mean-variance-unknown
95 using-the-confidence-norm-and-confidence-t-functions-in-excel
96 prediction-interval-on-a-future-observation

the-chi-squared-distribution
97 the-chi-squared-distribution-and-confidence-intervals-on-the-variance
98 percentage-points-of-the-chi-squared-distribution-table_instructions
99 excel-functions-for-the-chi-squared-distribution_instructions

reinforce-your-learning
100 guided-workshop-2_instructions
101 guided-workshop-2-confidence-interval-calculator-for-small-data-sets

one-sample-hypothesis-tests

week-3-cheat-sheet
102 week-3-cheat-sheet_instructions

hypothesis-tests-on-the-mean
103 introduction-to-hypothesis-testing-part-1
104 introduction-to-hypothesis-testing-part-2
105 hypothesis-tests-on-the-mean-using-confidence-intervals
106 the-test-statistic-approach-to-hypothesis-testing
107 using-p-values-for-hypothesis-testing-on-the-mean-part-1
108 using-p-values-for-hypothesis-testing-on-the-mean-part-2

type-ii-error-and-power
109 type-i-and-type-ii-errors
110 example-type-ii-error
111 power-of-the-test
112 choice-of-sample-size-and-oc-curves
113 choice-of-sample-size-variance-unknown

hypothesis-tests-on-the-variance-and-binomial-proportions
114 hypothesis-tests-on-the-variance
115 hypothesis-tests-on-a-binomial-proportion

reinforce-your-learning
116 guided-workshop-3_instructions
117 guided-workshop-3-real-time-power-calculator

two-sample-hypothesis-tests

week-4-cheat-sheet
118 week-4-cheat-sheet_instructions

comparison-of-means
119 comparison-of-means-flowchart_instructions
120 comparison-of-means-variance-known-part-1
121 comparison-of-means-variance-known-part-2
122 comparison-of-means-variance-unknown-part-1
123 comparison-of-means-variance-unknown-part-2
124 paired-t-tests
125 excel-functions-for-the-f-distribution_instructions

the-f-distribution
126 the-f-distribution-and-comparison-of-variances
127 percentage-points-of-the-f-distribution-table_instructions

comparison-of-proportions
128 comparison-of-proportions

reinforce-your-learning
129 guided-workshop-4_instructions
130 guided-workshop-4-two-sample-t-test-calculator

linear-regression

week-5-cheat-sheet
131 week-5-cheat-sheet_instructions

introduction-to-regression
132 linear-regression-part-1-simple-linear-models-straight-line
133 linear-regression-part-2-general-linear-models
134 linear-regression-part-3-multilinear-regression

simple-linear-regression
135 simple-linear-regression-using-least-squares-estimators
136 hypothesis-tests-for-simple-linear-regression
137 confidence-intervals-on-slope-and-intercept
138 examples-confidence-interval-on-the-slope
139 confidence-interval-on-the-mean-response
140 coefficient-of-determination-and-adjusted-r-squared

reinforce-your-learning
141 guided-workshop-5_instructions
142 guided-workshop-5-prediction-interval-for-a-future-observation

multilinear-regression

week-6-cheat-sheet
143 week-6-cheat-sheet_instructions

multiple-linear-regression
144 matrix-approach-to-multiple-linear-regression
145 statistical-properties-of-least-squares-estimators
146 hypothesis-tests-in-multiple-linear-regression-part-1
147 hypothesis-tests-in-multiple-linear-regression-part-2
148 confidence-intervals-in-multiple-linear-regression
149 introduction-to-nonlinear-regression-logistic-regression

reinforce-your-learning
150 guided-workshop-6_instructions
151 guided-workshop-6-real-time-multilinear-regression-calculator

anova

week-7-cheat-sheet
152 week-7-cheat-sheet_instructions

analysis-of-variance-anova
153 single-factor-anova-introduction-and-terminology
154 single-factor-anova-partitioning-the-sum-of-squares-and-creating-the-anova-table
155 single-factor-anova-comparison-of-means

reinforce-your-learning
156 guided-workshop-7_instructions
157 guided-workshop-7-two-way-analysis-of-variance

statistics-and-data-analysis-with-r

welcome-and-introduction-to-the-r-programming-language

course-introduction
158 welcome-to-the-course
159 how-the-course-works
160 the-importance-of-a-course-certificate-and-the-future-of-higher-education_instructions
161 auditing-the-course-vs-purchasing-a-course-certificate_instructions

introduction-to-rstudio-and-working-with-data
162 week-1-starter-files-and-cheat-sheet_instructions
163 introduction-to-r-and-rstudio
164 installation-links_instructions
165 basic-calculations-in-r
166 using-script-files
167 vectors-and-matrices-part-1
168 vectors-and-matrices-part-2
169 how-to-install-and-load-packages
170 data-frames-and-tibbles
171 additional-data-frame-examples
172 importing-data-into-rstudio
173 how-to-use-built-in-functions
174 user-defined-functions

check-your-understanding
175 how-programming-assignments-work

descriptive-statistics-and-graphical-presentation-of-data

descriptive-statistics
176 descriptive-statistics-part-1
177 descriptive-statistics-part-2
178 conditional-statistics

graphical-presentation-of-data
179 scatter-plots-part-1
180 scatter-plots-part-2
181 histograms
182 column-and-pie-plots
183 box-plots
184 probability-plots-and-the-ad-statistic

counting-techniques-and-probability-distribution-functions

counting-techniques
185 permutations-and-combinations

discrete-distributions
186 the-binomial-distribution
187 the-geometric-distribution
188 the-negative-binomial-distribution
189 the-hypergeometric-distribution
190 the-poisson-distribution
191 the-multinomial-distribution

continuous-distributions
192 the-uniform-distribution
193 the-normal-distribution
194 inverse-normal-distribution-calculations
195 standardizing-and-z-values
196 optional-review-variance-known-or-unknown
197 optional-review-sampling-distribution-vs-population-distribution
198 the-t-distribution
199 the-chi-squared-distribution
200 the-f-distribution

one-sample-hypothesis-testing

tests-on-the-mean
201 confidence-interval-on-the-mean-variance-known
202 confidence-interval-on-the-mean-variance-unknown
203 prediction-interval-on-a-future-observation
204 hypothesis-tests-on-the-mean-variance-known
205 hypothesis-tests-on-the-mean-variance-unknown

type-ii-error-beta-power-and-sample-size
206 optional-review-type-i-and-type-ii-errors
207 optional-review-power-of-the-test
208 type-ii-error-and-power-of-the-test
209 choice-of-sample-size

tests-on-the-variance
210 confidence-interval-on-the-variance
211 hypothesis-tests-on-the-variance

tests-on-a-binomial-proportion
212 hypothesis-tests-on-a-binomial-proportion

two-sample-hypothesis-tests

comparison-of-means-and-variances
213 comparison-of-means-variance-known-part-1
214 comparison-of-means-variance-known-part-2
215 comparison-of-variances-f-test-part-1
216 comparison-of-variances-f-test-part-2
217 comparison-of-means-variance-unknown

paired-tests
218 paired-t-tests

comparison-of-binomial-proportions
219 comparison-of-binomial-proportions

regression-and-anova

regression-residual-analysis-and-model-building
220 simple-linear-regression-part-1
221 simple-linear-regression-part-2
222 residual-analysis-part-1
223 residual-analysis-part-2
224 polynomial-regression
225 multilinear-regression
226 model-building-techniques-part-1
227 model-building-techniques-part-2

analysis-of-variance
228 analysis-of-variance

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