{"id":43,"date":"2023-01-19T17:09:45","date_gmt":"2023-01-19T17:09:45","guid":{"rendered":"https:\/\/content.one.lumenlearning.com\/introductiontopsychology\/chapter\/reading-conducting-experiments\/"},"modified":"2025-10-31T17:18:55","modified_gmt":"2025-10-31T17:18:55","slug":"reading-conducting-experiments","status":"publish","type":"chapter","link":"https:\/\/content.one.lumenlearning.com\/introductiontopsychology\/chapter\/reading-conducting-experiments\/","title":{"raw":"Correlational and Experimental Research: Learn It 3\u2014Designing an Experiment","rendered":"Correlational and Experimental Research: Learn It 3\u2014Designing an Experiment"},"content":{"raw":"<h2>Causality: Conducting Experiments and Using the Data<\/h2>\r\n<p data-depth=\"1\">As you\u2019ve learned, the only way to establish that there is a cause-and-effect relationship between two variables is to conduct a scientific <strong>experiment<\/strong>. <span style=\"font-size: 1rem; text-align: initial;\">In order to conduct an experiment, a researcher must have a specific <\/span><strong style=\"font-size: 1rem; text-align: initial;\">hypothesis<\/strong><span style=\"font-size: 1rem; text-align: initial;\"> to be tested. Hypotheses can be formulated either through direct observation of the real world or after careful review of previous research and theories. to find out if real-world data supports our hypothesis, we have to conduct an experiment.<\/span><\/p>\r\n<section data-depth=\"2\">\r\n<h2 data-type=\"title\">Designing an Experiment<\/h2>\r\n<section class=\"textbox keyTakeaway\">\r\n<h3>experimental and control groups<\/h3>\r\n<p>The most basic experimental design involves two groups: the experimental group and the control group. The two groups are designed to be the same except for one difference\u2014 experimental manipulation.<\/p>\r\n<p><br \/>\r\nThe <strong>experimental group<\/strong> gets the experimental manipulation\u2014that is, the treatment or variable being tested\u2014and the <strong>control group<\/strong> does not. Since experimental manipulation is the only difference between the experimental and control groups, we can be sure that any differences between the two are due to experimental manipulation rather than chance.<\/p>\r\n<\/section>\r\n<section class=\"textbox example\">\r\n<h3>Experiment: What works best for learning algebra?<\/h3>\r\n<p>Say we want to study the impact of a new program on learning. We could have the experimental group learn algebra using the new computer program and then test their learning. We measure the learning against our control group after they are taught algebra by a teacher in a traditional classroom. It is important for the control group to be treated similarly to the experimental group, with the exception that the control group does not receive the experimental manipulation.<\/p>\r\n<\/section>\r\n<h3>Operationalize<\/h3>\r\n<p>We also need to precisely define, or operationalize, how we measure the variables in our study.<\/p>\r\n<section class=\"textbox keyTakeaway\">\r\n<h3>operational definition<\/h3>\r\n<p>An <strong>operational definition<\/strong> is a precise description of our variables, and it is important in allowing others to understand exactly how and what a researcher measures in a particular experiment.<\/p>\r\n<\/section>\r\n<p>In operationalizing this study on learning, we would explain what we mean by \"learning\" and how that will be measured\u2014perhaps by a test, or by having the students summarize the information they learned. Whatever we determine, it is important that we operationalize learning in such a way that anyone who hears about our study for the first time knows exactly what we mean by learning. This aids peoples\u2019 ability to interpret our data as well as their capacity to replicate, or repeat, our experiment should they choose to do so.<\/p>\r\n<section class=\"textbox tryIt\">[ohm2_question height=\"200\"]3422[\/ohm2_question]<\/section>\r\n<h3>Choose Participants<\/h3>\r\n<p><strong>Participants<\/strong> are the subjects of psychological research, and as the name implies, individuals who are involved in psychological research actively participate in the process.<\/p>\r\n<\/section>\r\n<p>Samples are used because populations are usually too large to reasonably involve every member in our particular experiment. If possible, we should use a random sample.<\/p>\r\n<section class=\"textbox keyTakeaway\">\r\n<h3>random sample<\/h3>\r\n<p>A <strong>random sample<\/strong> is a subset of a larger population in which every member of the population has an equal chance of being selected. Random samples are preferred because if the sample is large enough we can be reasonably sure that the participating individuals are representative of the larger population. This means that the percentages of characteristics in the sample\u2014sex, ethnicity, socioeconomic level, and any other characteristics that might affect the results\u2014are close to those percentages in the larger population.<\/p>\r\n<\/section>\r\n<p>In our example, let\u2019s say we decide our population of interest is fourth graders. But all fourth graders is a very large population, so we need to be more specific; instead, we might say our population of interest is all fourth graders in a particular city. We should include students from various income brackets, family situations, races, ethnicities, religions, and geographic areas of town. With this more manageable population, we can work with the local schools in selecting a random sample of around 200 fourth graders who we want to participate in our experiment. With a representative group, we can <strong>generalize<\/strong> our findings to the larger population.<\/p>\r\n<figure>\r\n[caption id=\"\" align=\"aligncenter\" width=\"649\"]<img src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images-archive-read-only\/wp-content\/uploads\/sites\/902\/2015\/02\/23224523\/CNX_Psych_02_05_sample.jpg\" alt=\"(a) A photograph shows an aerial view of crowds on a street. (b) A photograph shows s small group of children.\" width=\"649\" height=\"248\" data-media-type=\"image\/jpeg\" \/> Figure 2. Researchers may work with (a) a large population or (b) a sample group that is a subset of the larger population. (credit \u201ccrowd\u201d: modification of work by James Cridland; credit \u201cstudents\u201d: modification of work by Laurie Sullivan)[\/caption]\r\n<\/figure>\r\n<h3><b>Representative and Random Samples<\/b><\/h3>\r\n<p class=\"p3\">A <span class=\"s2\"><b>representative sample<\/b><\/span> accurately reflects the demographics and diversity of the larger population (in this case, all U.S. adults). To achieve this, researchers often use <span class=\"s2\"><b>random sampling<\/b><\/span>, where every individual has an <span class=\"s2\">equal chance<\/span> of being selected.<\/p>\r\n<p class=\"p3\">In its simplest form, random sampling means assigning each person a number and using a computer to randomly choose participants. While most modern surveys don\u2019t use this exact process, they rely on <span class=\"s2\">probability-based methods<\/span> to ensure fairness and avoid bias.<\/p>\r\n<p class=\"p3\">For example, the GSS selects participants from nationally representative panels using established sampling techniques.<\/p>\r\n<section>\r\n<section class=\"textbox example\" aria-label=\"Example\">\r\n<h3><b>The General Social Survey (GSS)<\/b><\/h3>\r\n<p class=\"p3\">One of the most widely used examples is the <span class=\"s2\"><b>General Social Survey (GSS)<\/b><\/span>, conducted every two years in the United States.<\/p>\r\n<p class=\"p3\">Each cycle, researchers survey about <span class=\"s2\">2,000-3,000 adult Americans<\/span> to measure attitudes and behaviors on topics like:<\/p>\r\n<ul>\r\n\t<li class=\"p1\">Political ideology (e.g., how many identify as <i>liberal<\/i> or <i>conservative<\/i>)<\/li>\r\n\t<li class=\"p1\">Well-being (e.g., what percentage describe themselves as <i>happy<\/i>)<\/li>\r\n\t<li class=\"p1\">Lifestyle and time use (e.g., how many people feel <i>rushed<\/i> each day)<\/li>\r\n<\/ul>\r\n<p class=\"p3\">Despite surveying only a few thousand people, researchers can draw conclusions about the <span class=\"s2\">entire U.S. adult population<\/span>\u2014as long as the <span class=\"s2\">sample is representative<\/span>.<\/p>\r\n<p class=\"p1\">In the 2024 survey, participants were asked:<\/p>\r\n<blockquote>\u201cTaken all together, how would you say things are these days\u2014would you say that you are very happy, pretty happy, or not too happy?\u201d<\/blockquote>\r\n<p class=\"p1\">Here\u2019s what the results showed:<\/p>\r\n<p class=\"p1\">Out of about 3,300 respondents:<\/p>\r\n<ul>\r\n\t<li class=\"p1\"><span class=\"s1\"><b>684<\/b><\/span> said they were <i>very happy; or 23.3% (\u00b1 1.13)<\/i><\/li>\r\n\t<li class=\"p1\"><span class=\"s1\"><b>1,892<\/b><\/span> said <i>pretty happy, or 56.0% (\u00b1 1.05)<\/i><\/li>\r\n\t<li class=\"p1\"><span class=\"s1\"><b>705<\/b><\/span> said <i>not too happy; or 20.3% (\u00b1 1.05)<\/i><\/li>\r\n\t<li class=\"p1\">A few skipped or didn\u2019t know (about 1%)<\/li>\r\n<\/ul>\r\n<p class=\"p1\">Because the GSS uses <span class=\"s1\">probability-based sampling<\/span>, researchers can be <span class=\"s1\">confident<\/span> that these percentages closely reflect national trends.<\/p>\r\n<h3><b>Why Results Vary from Sample to Sample<\/b><\/h3>\r\n<p class=\"p3\">Even with a large, representative sample, no survey gives <i>exactly<\/i> the same result each time. If another random sample of Americans were surveyed, the percentages might be slightly different\u2014perhaps 22% or 24% \u201cvery happy\u201d instead of exactly 23%.<\/p>\r\n<p class=\"p3\">This natural variation happens because we\u2019re studying a <span class=\"s2\">subset<\/span> of the population, not everyone. Statisticians use tools like <span class=\"s2\"><b>standard deviation<\/b><\/span> and <span class=\"s2\"><b>margin of error<\/b><\/span> to describe this uncertainty.<\/p>\r\n<\/section>\r\n<h3 class=\"text-lg font-bold text-text-100 mt-1 -mb-1.5\"><strong>Standard Deviation: Measuring Spread<\/strong><\/h3>\r\n<p class=\"whitespace-normal break-words\"><strong>Standard deviation<\/strong> measures how much individual responses differ from the average (mean) response.<\/p>\r\n<ul class=\"[&amp;:not(:last-child)_ul]:pb-1 [&amp;:not(:last-child)_ol]:pb-1 list-disc space-y-2.5 pl-7\">\r\n\t<li class=\"whitespace-normal break-words\">A <strong>small standard deviation<\/strong> = most responses cluster near the average<\/li>\r\n\t<li class=\"whitespace-normal break-words\">A <strong>large standard deviation<\/strong> = responses are widely spread out<\/li>\r\n<\/ul>\r\n<p class=\"whitespace-normal break-words\"><strong>Example with quiz scores: <\/strong>Imagine five students take a 100-point psychology quiz:<\/p>\r\n<p class=\"whitespace-normal break-words\"><strong>Scenario 1:<\/strong> Scores are 70, 72, 74, 76, 78<\/p>\r\n<ul class=\"[&amp;:not(:last-child)_ul]:pb-1 [&amp;:not(:last-child)_ol]:pb-1 list-disc space-y-2.5 pl-7\">\r\n\t<li class=\"whitespace-normal break-words\">Mean = 74<\/li>\r\n\t<li class=\"whitespace-normal break-words\">Scores are tightly clustered (within 4 points)<\/li>\r\n\t<li class=\"whitespace-normal break-words\">Standard deviation \u2248 3 points (small)<\/li>\r\n<\/ul>\r\n<p class=\"whitespace-normal break-words\"><strong>Scenario 2:<\/strong> Scores are 50, 60, 70, 80, 90<\/p>\r\n<ul class=\"[&amp;:not(:last-child)_ul]:pb-1 [&amp;:not(:last-child)_ol]:pb-1 list-disc space-y-2.5 pl-7\">\r\n\t<li class=\"whitespace-normal break-words\">Mean = 70<\/li>\r\n\t<li class=\"whitespace-normal break-words\">Scores are widely spread (40-point range)<\/li>\r\n\t<li class=\"whitespace-normal break-words\">Standard deviation \u2248 15 points (large)<\/li>\r\n<\/ul>\r\n<p class=\"whitespace-normal break-words\">In psychology research, standard deviation reveals whether a behavior or attitude is consistent across people or highly variable.<\/p>\r\n<h4 class=\"text-lg font-bold text-text-100 mt-1 -mb-1.5\"><strong>Applying This to Surveys<\/strong><\/h4>\r\n<p class=\"whitespace-normal break-words\">In surveys like the GSS, researchers measure proportions or percentages rather than individual scores. The <strong>standard error<\/strong> (a type of standard deviation for samples) captures expected variation between samples.<\/p>\r\n<p class=\"whitespace-normal break-words\">If the GSS were repeated multiple times with different random groups, the percentage saying \"very happy\" would fluctuate slightly\u2014maybe 22%, 24%, 23%. The standard error quantifies this \"bounce.\"<\/p>\r\n<p class=\"whitespace-normal break-words\">In the GSS happiness example, the standard error of 1.13 percentage points reflects the typical variation expected across repeated samples of the same size.<\/p>\r\n<h3 class=\"text-lg font-bold text-text-100 mt-1 -mb-1.5\"><strong>Margin of Error: Creating Confidence Intervals<\/strong><\/h3>\r\n<p class=\"whitespace-normal break-words\">The <strong>margin of error<\/strong> converts standard deviation into an interpretable range, answering: <em>\"How close is our sample result likely to be to the true population value?\"<\/em><\/p>\r\n<p class=\"whitespace-normal break-words\">Researchers typically use a <strong>95% confidence level<\/strong>, meaning that if we repeated the survey 100 times, approximately 95 of those surveys would produce results within the margin of error.<\/p>\r\n<p class=\"whitespace-normal break-words\"><span style=\"font-family: 'Public Sans', -apple-system, BlinkMacSystemFont, 'Segoe UI', Roboto, Oxygen-Sans, Ubuntu, Cantarell, 'Helvetica Neue', sans-serif;\">If 23.3% of respondents say they're \"very happy,\" with a margin of error of \u00b11.13%, we can conclude: <\/span><strong>We are 95% confident that between 22.17% and 24.43% of all American adults are \"very happy.\"<\/strong><\/p>\r\n<p class=\"whitespace-normal break-words\">This range is called a <strong>confidence interval<\/strong>\u2014a way of acknowledging that our data come from a sample, not the entire population.<\/p>\r\n<\/section>\r\n<section class=\"textbox tryIt\">[ohm2_question height=\"275\"]3423[\/ohm2_question]<\/section>","rendered":"<h2>Causality: Conducting Experiments and Using the Data<\/h2>\n<p data-depth=\"1\">As you\u2019ve learned, the only way to establish that there is a cause-and-effect relationship between two variables is to conduct a scientific <strong>experiment<\/strong>. <span style=\"font-size: 1rem; text-align: initial;\">In order to conduct an experiment, a researcher must have a specific <\/span><strong style=\"font-size: 1rem; text-align: initial;\">hypothesis<\/strong><span style=\"font-size: 1rem; text-align: initial;\"> to be tested. Hypotheses can be formulated either through direct observation of the real world or after careful review of previous research and theories. to find out if real-world data supports our hypothesis, we have to conduct an experiment.<\/span><\/p>\n<section data-depth=\"2\">\n<h2 data-type=\"title\">Designing an Experiment<\/h2>\n<section class=\"textbox keyTakeaway\">\n<h3>experimental and control groups<\/h3>\n<p>The most basic experimental design involves two groups: the experimental group and the control group. The two groups are designed to be the same except for one difference\u2014 experimental manipulation.<\/p>\n<p>\nThe <strong>experimental group<\/strong> gets the experimental manipulation\u2014that is, the treatment or variable being tested\u2014and the <strong>control group<\/strong> does not. Since experimental manipulation is the only difference between the experimental and control groups, we can be sure that any differences between the two are due to experimental manipulation rather than chance.<\/p>\n<\/section>\n<section class=\"textbox example\">\n<h3>Experiment: What works best for learning algebra?<\/h3>\n<p>Say we want to study the impact of a new program on learning. We could have the experimental group learn algebra using the new computer program and then test their learning. We measure the learning against our control group after they are taught algebra by a teacher in a traditional classroom. It is important for the control group to be treated similarly to the experimental group, with the exception that the control group does not receive the experimental manipulation.<\/p>\n<\/section>\n<h3>Operationalize<\/h3>\n<p>We also need to precisely define, or operationalize, how we measure the variables in our study.<\/p>\n<section class=\"textbox keyTakeaway\">\n<h3>operational definition<\/h3>\n<p>An <strong>operational definition<\/strong> is a precise description of our variables, and it is important in allowing others to understand exactly how and what a researcher measures in a particular experiment.<\/p>\n<\/section>\n<p>In operationalizing this study on learning, we would explain what we mean by &#8220;learning&#8221; and how that will be measured\u2014perhaps by a test, or by having the students summarize the information they learned. Whatever we determine, it is important that we operationalize learning in such a way that anyone who hears about our study for the first time knows exactly what we mean by learning. This aids peoples\u2019 ability to interpret our data as well as their capacity to replicate, or repeat, our experiment should they choose to do so.<\/p>\n<section class=\"textbox tryIt\"><iframe loading=\"lazy\" id=\"ohm3422\" class=\"resizable\" src=\"https:\/\/ohm.one.lumenlearning.com\/multiembedq.php?id=3422&theme=lumen&iframe_resize_id=ohm3422&source=tnh&show_question_numbers\" width=\"100%\" height=\"200\"><\/iframe><\/section>\n<h3>Choose Participants<\/h3>\n<p><strong>Participants<\/strong> are the subjects of psychological research, and as the name implies, individuals who are involved in psychological research actively participate in the process.<\/p>\n<\/section>\n<p>Samples are used because populations are usually too large to reasonably involve every member in our particular experiment. If possible, we should use a random sample.<\/p>\n<section class=\"textbox keyTakeaway\">\n<h3>random sample<\/h3>\n<p>A <strong>random sample<\/strong> is a subset of a larger population in which every member of the population has an equal chance of being selected. Random samples are preferred because if the sample is large enough we can be reasonably sure that the participating individuals are representative of the larger population. This means that the percentages of characteristics in the sample\u2014sex, ethnicity, socioeconomic level, and any other characteristics that might affect the results\u2014are close to those percentages in the larger population.<\/p>\n<\/section>\n<p>In our example, let\u2019s say we decide our population of interest is fourth graders. But all fourth graders is a very large population, so we need to be more specific; instead, we might say our population of interest is all fourth graders in a particular city. We should include students from various income brackets, family situations, races, ethnicities, religions, and geographic areas of town. With this more manageable population, we can work with the local schools in selecting a random sample of around 200 fourth graders who we want to participate in our experiment. With a representative group, we can <strong>generalize<\/strong> our findings to the larger population.<\/p>\n<figure>\n<figure style=\"width: 649px\" class=\"wp-caption aligncenter\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images-archive-read-only\/wp-content\/uploads\/sites\/902\/2015\/02\/23224523\/CNX_Psych_02_05_sample.jpg\" alt=\"(a) A photograph shows an aerial view of crowds on a street. (b) A photograph shows s small group of children.\" width=\"649\" height=\"248\" data-media-type=\"image\/jpeg\" \/><figcaption class=\"wp-caption-text\">Figure 2. Researchers may work with (a) a large population or (b) a sample group that is a subset of the larger population. (credit \u201ccrowd\u201d: modification of work by James Cridland; credit \u201cstudents\u201d: modification of work by Laurie Sullivan)<\/figcaption><\/figure>\n<\/figure>\n<h3><b>Representative and Random Samples<\/b><\/h3>\n<p class=\"p3\">A <span class=\"s2\"><b>representative sample<\/b><\/span> accurately reflects the demographics and diversity of the larger population (in this case, all U.S. adults). To achieve this, researchers often use <span class=\"s2\"><b>random sampling<\/b><\/span>, where every individual has an <span class=\"s2\">equal chance<\/span> of being selected.<\/p>\n<p class=\"p3\">In its simplest form, random sampling means assigning each person a number and using a computer to randomly choose participants. While most modern surveys don\u2019t use this exact process, they rely on <span class=\"s2\">probability-based methods<\/span> to ensure fairness and avoid bias.<\/p>\n<p class=\"p3\">For example, the GSS selects participants from nationally representative panels using established sampling techniques.<\/p>\n<section>\n<section class=\"textbox example\" aria-label=\"Example\">\n<h3><b>The General Social Survey (GSS)<\/b><\/h3>\n<p class=\"p3\">One of the most widely used examples is the <span class=\"s2\"><b>General Social Survey (GSS)<\/b><\/span>, conducted every two years in the United States.<\/p>\n<p class=\"p3\">Each cycle, researchers survey about <span class=\"s2\">2,000-3,000 adult Americans<\/span> to measure attitudes and behaviors on topics like:<\/p>\n<ul>\n<li class=\"p1\">Political ideology (e.g., how many identify as <i>liberal<\/i> or <i>conservative<\/i>)<\/li>\n<li class=\"p1\">Well-being (e.g., what percentage describe themselves as <i>happy<\/i>)<\/li>\n<li class=\"p1\">Lifestyle and time use (e.g., how many people feel <i>rushed<\/i> each day)<\/li>\n<\/ul>\n<p class=\"p3\">Despite surveying only a few thousand people, researchers can draw conclusions about the <span class=\"s2\">entire U.S. adult population<\/span>\u2014as long as the <span class=\"s2\">sample is representative<\/span>.<\/p>\n<p class=\"p1\">In the 2024 survey, participants were asked:<\/p>\n<blockquote><p>\u201cTaken all together, how would you say things are these days\u2014would you say that you are very happy, pretty happy, or not too happy?\u201d<\/p><\/blockquote>\n<p class=\"p1\">Here\u2019s what the results showed:<\/p>\n<p class=\"p1\">Out of about 3,300 respondents:<\/p>\n<ul>\n<li class=\"p1\"><span class=\"s1\"><b>684<\/b><\/span> said they were <i>very happy; or 23.3% (\u00b1 1.13)<\/i><\/li>\n<li class=\"p1\"><span class=\"s1\"><b>1,892<\/b><\/span> said <i>pretty happy, or 56.0% (\u00b1 1.05)<\/i><\/li>\n<li class=\"p1\"><span class=\"s1\"><b>705<\/b><\/span> said <i>not too happy; or 20.3% (\u00b1 1.05)<\/i><\/li>\n<li class=\"p1\">A few skipped or didn\u2019t know (about 1%)<\/li>\n<\/ul>\n<p class=\"p1\">Because the GSS uses <span class=\"s1\">probability-based sampling<\/span>, researchers can be <span class=\"s1\">confident<\/span> that these percentages closely reflect national trends.<\/p>\n<h3><b>Why Results Vary from Sample to Sample<\/b><\/h3>\n<p class=\"p3\">Even with a large, representative sample, no survey gives <i>exactly<\/i> the same result each time. If another random sample of Americans were surveyed, the percentages might be slightly different\u2014perhaps 22% or 24% \u201cvery happy\u201d instead of exactly 23%.<\/p>\n<p class=\"p3\">This natural variation happens because we\u2019re studying a <span class=\"s2\">subset<\/span> of the population, not everyone. Statisticians use tools like <span class=\"s2\"><b>standard deviation<\/b><\/span> and <span class=\"s2\"><b>margin of error<\/b><\/span> to describe this uncertainty.<\/p>\n<\/section>\n<h3 class=\"text-lg font-bold text-text-100 mt-1 -mb-1.5\"><strong>Standard Deviation: Measuring Spread<\/strong><\/h3>\n<p class=\"whitespace-normal break-words\"><strong>Standard deviation<\/strong> measures how much individual responses differ from the average (mean) response.<\/p>\n<ul class=\"[&amp;:not(:last-child)_ul]:pb-1 [&amp;:not(:last-child)_ol]:pb-1 list-disc space-y-2.5 pl-7\">\n<li class=\"whitespace-normal break-words\">A <strong>small standard deviation<\/strong> = most responses cluster near the average<\/li>\n<li class=\"whitespace-normal break-words\">A <strong>large standard deviation<\/strong> = responses are widely spread out<\/li>\n<\/ul>\n<p class=\"whitespace-normal break-words\"><strong>Example with quiz scores: <\/strong>Imagine five students take a 100-point psychology quiz:<\/p>\n<p class=\"whitespace-normal break-words\"><strong>Scenario 1:<\/strong> Scores are 70, 72, 74, 76, 78<\/p>\n<ul class=\"[&amp;:not(:last-child)_ul]:pb-1 [&amp;:not(:last-child)_ol]:pb-1 list-disc space-y-2.5 pl-7\">\n<li class=\"whitespace-normal break-words\">Mean = 74<\/li>\n<li class=\"whitespace-normal break-words\">Scores are tightly clustered (within 4 points)<\/li>\n<li class=\"whitespace-normal break-words\">Standard deviation \u2248 3 points (small)<\/li>\n<\/ul>\n<p class=\"whitespace-normal break-words\"><strong>Scenario 2:<\/strong> Scores are 50, 60, 70, 80, 90<\/p>\n<ul class=\"[&amp;:not(:last-child)_ul]:pb-1 [&amp;:not(:last-child)_ol]:pb-1 list-disc space-y-2.5 pl-7\">\n<li class=\"whitespace-normal break-words\">Mean = 70<\/li>\n<li class=\"whitespace-normal break-words\">Scores are widely spread (40-point range)<\/li>\n<li class=\"whitespace-normal break-words\">Standard deviation \u2248 15 points (large)<\/li>\n<\/ul>\n<p class=\"whitespace-normal break-words\">In psychology research, standard deviation reveals whether a behavior or attitude is consistent across people or highly variable.<\/p>\n<h4 class=\"text-lg font-bold text-text-100 mt-1 -mb-1.5\"><strong>Applying This to Surveys<\/strong><\/h4>\n<p class=\"whitespace-normal break-words\">In surveys like the GSS, researchers measure proportions or percentages rather than individual scores. The <strong>standard error<\/strong> (a type of standard deviation for samples) captures expected variation between samples.<\/p>\n<p class=\"whitespace-normal break-words\">If the GSS were repeated multiple times with different random groups, the percentage saying &#8220;very happy&#8221; would fluctuate slightly\u2014maybe 22%, 24%, 23%. The standard error quantifies this &#8220;bounce.&#8221;<\/p>\n<p class=\"whitespace-normal break-words\">In the GSS happiness example, the standard error of 1.13 percentage points reflects the typical variation expected across repeated samples of the same size.<\/p>\n<h3 class=\"text-lg font-bold text-text-100 mt-1 -mb-1.5\"><strong>Margin of Error: Creating Confidence Intervals<\/strong><\/h3>\n<p class=\"whitespace-normal break-words\">The <strong>margin of error<\/strong> converts standard deviation into an interpretable range, answering: <em>&#8220;How close is our sample result likely to be to the true population value?&#8221;<\/em><\/p>\n<p class=\"whitespace-normal break-words\">Researchers typically use a <strong>95% confidence level<\/strong>, meaning that if we repeated the survey 100 times, approximately 95 of those surveys would produce results within the margin of error.<\/p>\n<p class=\"whitespace-normal break-words\"><span style=\"font-family: 'Public Sans', -apple-system, BlinkMacSystemFont, 'Segoe UI', Roboto, Oxygen-Sans, Ubuntu, Cantarell, 'Helvetica Neue', sans-serif;\">If 23.3% of respondents say they&#8217;re &#8220;very happy,&#8221; with a margin of error of \u00b11.13%, we can conclude: <\/span><strong>We are 95% confident that between 22.17% and 24.43% of all American adults are &#8220;very happy.&#8221;<\/strong><\/p>\n<p class=\"whitespace-normal break-words\">This range is called a <strong>confidence interval<\/strong>\u2014a way of acknowledging that our data come from a sample, not the entire population.<\/p>\n<\/section>\n<section class=\"textbox tryIt\"><iframe loading=\"lazy\" id=\"ohm3423\" class=\"resizable\" src=\"https:\/\/ohm.one.lumenlearning.com\/multiembedq.php?id=3423&theme=lumen&iframe_resize_id=ohm3423&source=tnh&show_question_numbers\" width=\"100%\" height=\"275\"><\/iframe><\/section>\n","protected":false},"author":20,"menu_order":19,"template":"","meta":{"_candela_citation":"[{\"type\":\"cc\",\"description\":\"Analyzing Findings\",\"author\":\"OpenStax College\",\"organization\":\"\",\"url\":\"https:\/\/openstax.org\/books\/psychology-2e\/pages\/2-3-analyzing-findings\",\"project\":\"\",\"license\":\"cc-by\",\"license_terms\":\"Download for free at https:\/\/openstax.org\/books\/psychology-2e\/pages\/1-introduction. \"},{\"type\":\"original\",\"description\":\"Modification, adaptation, and original content\",\"author\":\"\",\"organization\":\"Lumen Learning\",\"url\":\"\",\"project\":\"\",\"license\":\"cc-by\",\"license_terms\":\"Access for free at https:\/\/openstax.org\/books\/psychology-2e\/pages\/1-introduction\"}]","pb_show_title":"on","pb_short_title":"","pb_subtitle":"","pb_authors":[],"pb_section_license":""},"chapter-type":[],"contributor":[],"license":[],"part":22,"module-header":"learn_it","content_attributions":[{"type":"cc","description":"Analyzing Findings","author":"OpenStax College","organization":"","url":"https:\/\/openstax.org\/books\/psychology-2e\/pages\/2-3-analyzing-findings","project":"","license":"cc-by","license_terms":"Download for free at https:\/\/openstax.org\/books\/psychology-2e\/pages\/1-introduction. 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