{"id":49921,"date":"2024-04-15T23:02:50","date_gmt":"2024-04-15T23:02:50","guid":{"rendered":"https:\/\/exam.pscnotes.com\/mcq\/?p=49921"},"modified":"2024-04-15T23:02:50","modified_gmt":"2024-04-15T23:02:50","slug":"the-main-disadvantage-of-maximum-likelihood-methods-is-that-they-are","status":"publish","type":"post","link":"https:\/\/exam.pscnotes.com\/mcq\/the-main-disadvantage-of-maximum-likelihood-methods-is-that-they-are\/","title":{"rendered":"The main disadvantage of maximum likelihood methods is that they are . . . . . . . ."},"content":{"rendered":"<p>\r\n    <!-- Check if it's an AMP page -->\r\n            <!-- Non-AMP version -->\r\n        <div class=\"mcq-container\" data-quiz-id=\"quizState_6a97e1ee3b7e9\">\r\n                                            <div class=\"option\" data-option-key=\"option1\" data-is-correct=\"false\">\r\n                    mathematically less folded                <\/div>\r\n                                            <div class=\"option\" data-option-key=\"option2\" data-is-correct=\"false\">\r\n                    mathematically less complex                <\/div>\r\n                                            <div class=\"option\" data-option-key=\"option3\" data-is-correct=\"false\">\r\n                    mathematically less complex                <\/div>\r\n                                            <div class=\"option\" data-option-key=\"option4\" data-is-correct=\"true\">\r\n                    computationally intense                <\/div>\r\n                            \r\n            <!-- Feedback messages for non-AMP -->\r\n            <div class=\"feedback\" data-feedback=\"wrong\">Answer is Right!<\/div>\r\n            <div class=\"feedback\" data-feedback=\"right\">Answer is Wrong!<\/div>\r\n        <\/div>\r\n\r\n        <script>\r\n        document.addEventListener('DOMContentLoaded', function () {\r\n            var containers = document.querySelectorAll('.mcq-container');\r\n\r\n            containers.forEach(function(container) {\r\n                var options = container.querySelectorAll('.option');\r\n                var feedbackSelect = container.querySelector('[data-feedback=\"select\"]');\r\n                var feedbackWrong = container.querySelector('[data-feedback=\"wrong\"]');\r\n                var feedbackRight = container.querySelector('[data-feedback=\"right\"]');\r\n\r\n                options.forEach(function(option) {\r\n                    option.addEventListener('click', function() {\r\n                        var selectedOption = option.getAttribute('data-option-key');\r\n                        var isCorrect = option.getAttribute('data-is-correct') === 'true';\r\n\r\n                        \/\/ Remove previous selections\r\n                        options.forEach(function(opt) {\r\n                            opt.classList.remove('correct', 'incorrect');\r\n                        });\r\n\r\n                        \/\/ Add the correct\/incorrect class\r\n                        if (isCorrect) {\r\n                            option.classList.add('correct');\r\n                            feedbackRight.hidden = false;\r\n                            feedbackWrong.hidden = true;\r\n                        } else {\r\n                            option.classList.add('incorrect');\r\n                            feedbackRight.hidden = true;\r\n                            feedbackWrong.hidden = false;\r\n                        }\r\n\r\n                        \/\/ Hide select feedback\r\n                        feedbackSelect.hidden = true;\r\n                    });\r\n                });\r\n            });\r\n        });\r\n        <\/script>\r\n    \r\n    <!--more--><\/p>\n<p>The correct answer is D. computationally intense.<\/p>\n<p>Maximum likelihood methods are a powerful tool for statistical inference, but they can be computationally expensive. This is because they require the calculation of the likelihood function, which can be a complex function of the parameters. In some cases, the likelihood function may not even be able to be calculated analytically, and numerical methods must be used. This can make maximum likelihood methods impractical for large datasets.<\/p>\n<p>The other options are incorrect. Option A is incorrect because maximum likelihood methods are often quite complex. Option B is incorrect because maximum likelihood methods are not necessarily less complex than other statistical methods. Option C is incorrect because maximum likelihood methods are not necessarily less complex than other statistical methods.<\/p>\n<p>Here is a brief explanation of each option:<\/p>\n<ul>\n<li>Option A: Mathematically less folded. This is incorrect because maximum likelihood methods are often quite complex. For example, the likelihood function for a Gaussian distribution is given by<\/li>\n<\/ul>\n<p>$$L(\\theta|x) = \\frac{1}{\\sqrt{2\\pi\\sigma^2}} \\exp \\left( -\\frac{(x-\\mu)^2}{2\\sigma^2} \\right)$$<\/p>\n<p>This is a complex function of the parameters $\\mu$ and $\\sigma^2$.<\/p>\n<ul>\n<li>\n<p>Option B: Mathematically less complex. This is incorrect because maximum likelihood methods are not necessarily less complex than other statistical methods. For example, the method of moments is a simpler statistical method than maximum likelihood.<\/p>\n<\/li>\n<li>\n<p>Option C: Mathematically less complex. This is incorrect because maximum likelihood methods are not necessarily less complex than other statistical methods. For example, the method of moments <div class=\"telegram-channel-container\">\r\n        <a href=\"https:\/\/t.me\/pscnotes2025\" target=\"_blank\" class=\"telegram-channel-button\">\r\n            <span class=\"telegram-icon\">\r\n                <svg xmlns=\"http:\/\/www.w3.org\/2000\/svg\" viewBox=\"0 0 496 512\">\r\n                    <path fill=\"white\" d=\"M248,8C111,8,0,119,0,256s111,248,248,248s248-111,248-248S385,8,248,8z M362,177L320,367c-3,14-10,18-20,14l-56-41l-27,26 c-3,3-5,5-10,5l4-63L323,196c5-5-1-7-8-3l-98,62l-42-13c-9-3-10-9,2-14l162-63C351,160,365,164,362,177z\"\/>\r\n                <\/svg>\r\n            <\/span>\r\n            Join Our Telegram Channel\r\n        <\/a>\r\n    <\/div> is a simpler statistical method than maximum likelihood.<\/p>\n<\/li>\n<li>\n<p>Option D: Computationally intense. This is the correct answer because maximum likelihood methods require the calculation of the likelihood function, which can be a complex function of the parameters. In some cases, the likelihood function may not even be <div class=\"youtube-subscribe-container\">\r\n        <a href=\"https:\/\/www.youtube.com\/channel\/UCNHT8lW-JmLC68rjBfZhdkg?sub_confirmation=1\" target=\"_blank\" class=\"youtube-subscribe-button\">\r\n            <span class=\"youtube-icon\">\r\n                <svg xmlns=\"http:\/\/www.w3.org\/2000\/svg\" viewBox=\"0 0 576 512\">\r\n                    <path d=\"M549.7 124.1c-6.3-23.7-24.8-42.3-48.3-48.6C458.8 64 288 64 288 64S117.2 64 74.6 75.5c-23.5 6.3-42 24.9-48.3 48.6-11.4 42.9-11.4 132.3-11.4 132.3s0 89.4 11.4 132.3c6.3 23.7 24.8 41.5 48.3 47.8C117.2 448 288 448 288 448s170.8 0 213.4-11.5c23.5-6.3 42-24.2 48.3-47.8 11.4-42.9 11.4-132.3 11.4-132.3s0-89.4-11.4-132.3zm-317.5 213.5V175.2l142.7 81.2-142.7 81.2z\"\/>\r\n                <\/svg>\r\n            <\/span>\r\n            Subscribe on YouTube\r\n        <\/a>\r\n    <\/div> able to be calculated analytically, and numerical methods must be used. This can make maximum likelihood methods impractical for large datasets.<\/p>\n<\/li>\n<\/ul>\n","protected":false},"excerpt":{"rendered":"<p>Subscribe on YouTube<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[729],"tags":[],"yoast_head":"<!-- This site is optimized with the Yoast SEO Premium plugin v22.2 (Yoast SEO v23.3) - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>The main disadvantage of maximum likelihood methods is that they are . . . . . . . .<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/exam.pscnotes.com\/mcq\/the-main-disadvantage-of-maximum-likelihood-methods-is-that-they-are\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta 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