Question
Imagine that a group of obese children is recruited for a study in which their weight is measured, then they participate for 3 months in a program that encourages them to be more active, and finally their weight is measured again. Explain how each of the following might affect the results:
a. regression to the mean
b. spontaneous remission
c. history
d. maturation
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Research Methods in Psychology
Regression to the mean: This statistical concept suggests that repeated measurements of a variable makes what was initially a natural variation even out – that even though a variable might have been on either extreme side of the mean, it will move closer to the mean when next measurement is taken. Hence, regression to the mean results when a unit/study participant is subjected to repeated measurements – because observations/measurements inherently are subject to random error. This means, what initially is relatively low/high value (observation), if measured repeatedly will regress towards the true mean of subject/participant/unit. In this
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      • composing: components.footer (106μs)
      • Illuminate\Cache\Events\CacheHit (870μs)
      • Illuminate\Cache\Events\CacheHit (275μs)
      • Illuminate\Cache\Events\CacheHit (325μs)
      • Illuminate\Cache\Events\CacheHit (206μs)
      • Illuminate\Cache\Events\CacheHit (201μs)
      • Illuminate\Cache\Events\CacheHit (189μs)
      • Illuminate\Cache\Events\CacheHit (187μs)
      • Illuminate\Cache\Events\CacheHit (314μs)
      • Illuminate\Cache\Events\CacheHit (341μs)
      • Illuminate\Cache\Events\CacheHit (301μs)
      • Illuminate\Cache\Events\CacheHit (199μs)
      • Illuminate\Cache\Events\CacheHit (183μs)
      • Illuminate\Cache\Events\CacheHit (207μs)
      • Illuminate\Cache\Events\CacheHit (214μs)
      • creating: components.forms.contact-us (238μs)
      • composing: components.forms.contact-us (161μs)
      • creating: components.forms.get-started (142μs)
      • composing: components.forms.get-started (76μs)
      • creating: components.forms.free-tool-download (109μs)
      • composing: components.forms.free-tool-download (66μs)
      • creating: components.forms.claim-free-worksheet (103μs)
      • composing: components.forms.claim-free-worksheet (66μs)
      • creating: components.forms.tutor-subscription-waitlist (106μs)
      • composing: components.forms.tutor-subscription-waitlist (66μs)
      • creating: components.forms.tutor-subscription-join (200μs)
      • composing: components.forms.tutor-subscription-join (73μs)
      • creating: components.forms.tutor-support (120μs)
      • composing: components.forms.tutor-support (70μs)
      • 316 x Illuminate\Cache\Events\CacheHit (16.09%)
        115ms
        15 x Illuminate\Database\Events\StatementPrepared (8.85%)
        63.18ms
        15 x Illuminate\Database\Events\QueryExecuted (5.22%)
        37.28ms
        6 x Illuminate\Cache\Events\CacheMissed (1.59%)
        11.35ms
        6 x Illuminate\Cache\Events\KeyWritten (0.84%)
        6.01ms
        1 x Illuminate\Foundation\Events\LocaleUpdated (0.64%)
        4.60ms
        1 x Illuminate\Routing\Events\Routing (0.23%)
        1.65ms
        1 x Illuminate\Database\Events\ConnectionEstablished (0.15%)
        1.10ms
        7 x eloquent.retrieved: App\Models\SubjectCat (0.08%)
        551μs
        1 x Illuminate\Routing\Events\RouteMatched (0.07%)
        514μs
        1 x creating: site.layouts.app (0.07%)
        483μs
        7 x eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibrary (0.06%)
        446μs
        1 x creating: homework.show (0.06%)
        402μs
        1 x creating: components.canonical (0.06%)
        401μs
        1 x creating: components.breadcrumbs (0.05%)
        353μs
        1 x creating: site.headers.header (0.04%)
        251μs
        1 x creating: components.forms.contact-us (0.03%)
        238μs
        1 x eloquent.booting: App\Models\SubjectCat (0.03%)
        237μs
        1 x eloquent.booting: App\Models\Subject (0.03%)
        226μs
        1 x eloquent.booting: App\Models\HomeworkLibrary\HomeworkLibrary (0.03%)
        218μs
        1 x eloquent.booted: App\Models\HomeworkLibrary\HomeworkLibrary (0.03%)
        201μs
        1 x creating: components.forms.tutor-subscription-join (0.03%)
        200μs
        2 x eloquent.retrieved: App\Models\Subject (0.03%)
        191μs
        1 x composing: homework.show (0.03%)
        183μs
        1 x composing: components.breadcrumbs (0.02%)
        173μs
        1 x creating: components.open-graph (0.02%)
        169μs
        1 x composing: components.forms.contact-us (0.02%)
        161μs
        1 x creating: components.forms.get-started (0.02%)
        142μs
        3 x eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibraryFile (0.02%)
        140μs
        1 x eloquent.booted: App\Models\Subject (0.02%)
        121μs
        1 x creating: components.forms.tutor-support (0.02%)
        120μs
        1 x creating: components.forms.free-tool-download (0.02%)
        109μs
        1 x composing: components.footer (0.01%)
        106μs
        1 x creating: components.forms.tutor-subscription-waitlist (0.01%)
        106μs
        1 x creating: components.forms.claim-free-worksheet (0.01%)
        103μs
        1 x composing: components.canonical (0.01%)
        85μs
        1 x creating: components.footer (0.01%)
        83μs
        1 x eloquent.booting: App\Models\HomeworkLibrary\HomeworkLibraryFile (0.01%)
        79μs
        1 x composing: components.forms.get-started (0.01%)
        76μs
        1 x composing: components.forms.tutor-subscription-join (0.01%)
        73μs
        1 x composing: components.open-graph (0.01%)
        72μs
        1 x composing: components.forms.tutor-support (0.01%)
        70μs
        1 x composing: site.headers.header (0.01%)
        69μs
        1 x composing: components.forms.free-tool-download (0.01%)
        66μs
        1 x composing: components.forms.claim-free-worksheet (0.01%)
        66μs
        1 x composing: components.forms.tutor-subscription-waitlist (0.01%)
        66μs
        1 x eloquent.booted: App\Models\HomeworkLibrary\HomeworkLibraryFile (0.01%)
        49μs
        1 x eloquent.booted: App\Models\SubjectCat (0.01%)
        39μs
        1 x composing: site.layouts.app (0%)
        22μs
      14 templates were rendered
      • 1x homework.showshow.blade.phpblade
      • 1x components.breadcrumbsbreadcrumbs.blade.phpblade
      • 1x site.layouts.appapp.blade.phpblade
      • 1x components.canonicalcanonical.blade.phpblade
      • 1x components.open-graphopen-graph.blade.phpblade
      • 1x site.headers.headerheader.blade.phpblade
      • 1x components.footerfooter.blade.phpblade
      • 1x components.forms.contact-uscontact-us.blade.phpblade
      • 1x components.forms.get-startedget-started.blade.phpblade
      • 1x components.forms.free-tool-downloadfree-tool-download.blade.phpblade
      • 1x components.forms.claim-free-worksheetclaim-free-worksheet.blade.phpblade
      • 1x components.forms.tutor-subscription-waitlisttutor-subscription-waitlist.blade.phpblade
      • 1x components.forms.tutor-subscription-jointutor-subscription-join.blade.phpblade
      • 1x components.forms.tutor-supporttutor-support.blade.phpblade
      uri
      GET college-homework-library/{category}/{subject}/{id}
      middleware
      web, utm.parameters
      controller
      App\Http\Controllers\HomeworkLibraryController@show
      namespace
      where
      as
      homework.show
      file
      app/Http/Controllers/HomeworkLibraryController.php:79-176
      15 statements were executed, 4 of which were duplicates, 11 unique. Show only duplicated86.29ms
      • Connection Establishedtwenty4_siteHomeworkLibraryController.php#91
        Backtrace
        • 13. app/Http/Controllers/HomeworkLibraryController.php:91
        • 14. vendor/laravel/framework/src/Illuminate/Routing/Controller.php:54
        • 15. vendor/laravel/framework/src/Illuminate/Routing/ControllerDispatcher.php:43
        • 16. vendor/laravel/framework/src/Illuminate/Routing/Route.php:260
        • 17. vendor/laravel/framework/src/Illuminate/Routing/Route.php:205
      • select * from `solutionslibrary` where `status` = 'published' and `price` > 0 and `solutionslibrary`.`id` = '33383' limit 1
        41.83mstwenty4_siteHomeworkLibraryController.php#97
        Bindings
        • 0: published
        • 1: 0
        • 2: 33383
        Backtrace
        • 16. app/Http/Controllers/HomeworkLibraryController.php:97
        • 17. vendor/laravel/framework/src/Illuminate/Routing/Controller.php:54
        • 18. vendor/laravel/framework/src/Illuminate/Routing/ControllerDispatcher.php:43
        • 19. vendor/laravel/framework/src/Illuminate/Routing/Route.php:260
        • 20. vendor/laravel/framework/src/Illuminate/Routing/Route.php:205
      • select * from `subjects` where `subjects`.`id` in (61)
        1.65mstwenty4_siteHomeworkLibraryController.php#97
        Backtrace
        • 21. app/Http/Controllers/HomeworkLibraryController.php:97
        • 22. vendor/laravel/framework/src/Illuminate/Routing/Controller.php:54
        • 23. vendor/laravel/framework/src/Illuminate/Routing/ControllerDispatcher.php:43
        • 24. vendor/laravel/framework/src/Illuminate/Routing/Route.php:260
        • 25. vendor/laravel/framework/src/Illuminate/Routing/Route.php:205
      • select * from `solutionslibrary_files` where `solutionslibrary_files`.`solutionlib_id` in (33383)
        900μstwenty4_siteHomeworkLibraryController.php#97
        Backtrace
        • 21. app/Http/Controllers/HomeworkLibraryController.php:97
        • 22. vendor/laravel/framework/src/Illuminate/Routing/Controller.php:54
        • 23. vendor/laravel/framework/src/Illuminate/Routing/ControllerDispatcher.php:43
        • 24. vendor/laravel/framework/src/Illuminate/Routing/Route.php:260
        • 25. vendor/laravel/framework/src/Illuminate/Routing/Route.php:205
      • select * from `subject_cats` where `subject_cats`.`id` = 12 limit 1
        920μstwenty4_siteHomeworkLibrary.php#201
        Bindings
        • 0: 12
        Backtrace
        • 20. app/Models/HomeworkLibrary/HomeworkLibrary.php:201
        • 26. app/Http/Controllers/HomeworkLibraryController.php:105
        • 27. vendor/laravel/framework/src/Illuminate/Routing/Controller.php:54
        • 28. vendor/laravel/framework/src/Illuminate/Routing/ControllerDispatcher.php:43
        • 29. vendor/laravel/framework/src/Illuminate/Routing/Route.php:260
      • select * from `solutionslibrary` where `id` <> 33383 and `subject` = 61 and `status` = 'published' and `price` > 0 order by RAND() limit 6
        11.36mstwenty4_siteHomeworkLibraryRepository.php#30
        Bindings
        • 0: 33383
        • 1: 61
        • 2: published
        • 3: 0
        Backtrace
        • 14. app/Repositories/HomeworkLibraryRepository.php:30
        • 15. vendor/laravel/framework/src/Illuminate/Cache/Repository.php:397
        • 16. vendor/laravel/framework/src/Illuminate/Cache/CacheManager.php:419
        • 18. app/Repositories/HomeworkLibraryRepository.php:39
        • 19. app/Http/Controllers/HomeworkLibraryController.php:139
      • select * from `subjects` where `subjects`.`id` in (61)
        1.15mstwenty4_siteHomeworkLibraryRepository.php#30
        Backtrace
        • 19. app/Repositories/HomeworkLibraryRepository.php:30
        • 20. vendor/laravel/framework/src/Illuminate/Cache/Repository.php:397
        • 21. vendor/laravel/framework/src/Illuminate/Cache/CacheManager.php:419
        • 23. app/Repositories/HomeworkLibraryRepository.php:39
        • 24. app/Http/Controllers/HomeworkLibraryController.php:139
      • select * from `solutionslibrary_files` where `solutionslibrary_files`.`solutionlib_id` = 33383 and `solutionslibrary_files`.`solutionlib_id` is not null and `publish` = 'question' order by `order` asc, `id` asc
        4.13mstwenty4_siteHomeworkLibrary.php#260
        Bindings
        • 0: 33383
        • 1: question
        Backtrace
        • 15. app/Models/HomeworkLibrary/HomeworkLibrary.php:260
        • 16. app/Transformers/HomeworkLibrary/HomeworkLibraryTransformer.php:58
        • 19. vendor/league/fractal/src/TransformerAbstract.php:128
        • 20. vendor/league/fractal/src/TransformerAbstract.php:107
        • 21. vendor/league/fractal/src/Scope.php:383
      • select * from `solutionslibrary_files` where `solutionslibrary_files`.`solutionlib_id` = 33383 and `solutionslibrary_files`.`solutionlib_id` is not null and `publish` = 'teaser' order by `order` asc, `id` asc
        10.34mstwenty4_siteHomeworkLibrary.php#260
        Bindings
        • 0: 33383
        • 1: teaser
        Backtrace
        • 15. app/Models/HomeworkLibrary/HomeworkLibrary.php:260
        • 16. app/Transformers/HomeworkLibrary/HomeworkLibraryTransformer.php:69
        • 19. vendor/league/fractal/src/TransformerAbstract.php:128
        • 20. vendor/league/fractal/src/TransformerAbstract.php:107
        • 21. vendor/league/fractal/src/Scope.php:383
      • select * from `solutionslibrary_files` where `solutionslibrary_files`.`solutionlib_id` = 33383 and `solutionslibrary_files`.`solutionlib_id` is not null and `publish` = 'solution' order by `order` asc, `id` asc
        1.96mstwenty4_siteHomeworkLibrary.php#260
        Bindings
        • 0: 33383
        • 1: solution
        Backtrace
        • 15. app/Models/HomeworkLibrary/HomeworkLibrary.php:260
        • 16. app/Transformers/HomeworkLibrary/HomeworkLibraryTransformer.php:80
        • 19. vendor/league/fractal/src/TransformerAbstract.php:128
        • 20. vendor/league/fractal/src/TransformerAbstract.php:107
        • 21. vendor/league/fractal/src/Scope.php:383
      • select * from `subject_cats` where `subject_cats`.`id` = 12 limit 1
        970μstwenty4_siteHomeworkLibrary.php#201
        Bindings
        • 0: 12
        Backtrace
        • 20. app/Models/HomeworkLibrary/HomeworkLibrary.php:201
        • 32. vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:110
        • 33. vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
        • 34. vendor/livewire/livewire/src/ComponentConcerns/RendersLivewireComponents.php:69
        • 35. vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:70
      • select * from `subject_cats` where `subject_cats`.`id` = 1 limit 1
        1.16mstwenty4_siteSubject.php#100
        Bindings
        • 0: 1
        Backtrace
        • 18. app/Models/Subject.php:100
        • 19. vendor/laravel/framework/src/Illuminate/Cache/Repository.php:397
        • 20. vendor/laravel/framework/src/Illuminate/Cache/CacheManager.php:419
        • 22. app/Models/Subject.php:101
        • 34. vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:110
      • select * from `subject_cats` where `subject_cats`.`id` = 3 limit 1
        4.24mstwenty4_siteSubject.php#100
        Bindings
        • 0: 3
        Backtrace
        • 18. app/Models/Subject.php:100
        • 19. vendor/laravel/framework/src/Illuminate/Cache/Repository.php:397
        • 20. vendor/laravel/framework/src/Illuminate/Cache/CacheManager.php:419
        • 22. app/Models/Subject.php:101
        • 34. vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:110
      • select * from `subject_cats` where `subject_cats`.`id` = 4 limit 1
        3.05mstwenty4_siteSubject.php#100
        Bindings
        • 0: 4
        Backtrace
        • 18. app/Models/Subject.php:100
        • 19. vendor/laravel/framework/src/Illuminate/Cache/Repository.php:397
        • 20. vendor/laravel/framework/src/Illuminate/Cache/CacheManager.php:419
        • 22. app/Models/Subject.php:101
        • 34. vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:110
      • select * from `subject_cats` where `subject_cats`.`id` = 11 limit 1
        960μstwenty4_siteSubject.php#100
        Bindings
        • 0: 11
        Backtrace
        • 18. app/Models/Subject.php:100
        • 19. vendor/laravel/framework/src/Illuminate/Cache/Repository.php:397
        • 20. vendor/laravel/framework/src/Illuminate/Cache/CacheManager.php:419
        • 22. app/Models/Subject.php:101
        • 34. vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:110
      • select * from `subject_cats` where `subject_cats`.`id` = 5 limit 1
        1.67mstwenty4_siteSubject.php#100
        Bindings
        • 0: 5
        Backtrace
        • 18. app/Models/Subject.php:100
        • 19. vendor/laravel/framework/src/Illuminate/Cache/Repository.php:397
        • 20. vendor/laravel/framework/src/Illuminate/Cache/CacheManager.php:419
        • 22. app/Models/Subject.php:101
        • 34. vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:110
      App\Models\HomeworkLibrary\HomeworkLibrary
      7HomeworkLibrary.php
      App\Models\SubjectCat
      7SubjectCat.php
      App\Models\HomeworkLibrary\HomeworkLibraryFile
      3HomeworkLibraryFile.php
      App\Models\Subject
      2Subject.php
          _token
          KE89vm8lwEJyK4LkDZMp4x6FxRvxlDMEB5PTih33
          utm_source
          direct
          redirectUrl
          /college-homework-library/Psychology/Psychology-Other/33383
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          array:1 [ "url" => "https://staging.dev.24houranswers.com/college-homework-library/Psychology/Psyc...
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          PHPDEBUGBAR_STACK_DATA
          []
          path_info
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          status_code
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          status_text
          OK
          format
          html
          content_type
          text/html; charset=UTF-8
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          []
          
          request_request
          []
          
          request_headers
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          request_cookies
          []
          
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