1.Linear programming method to construct equated item sets for the implementation of periodical computer-based testing for the Korean Medical Licensing Examination
Dong Gi SEO ; Myeong Gi KIM ; Na Hui KIM ; Hye Sook SHIN ; Hyun Jung KIM
Journal of Educational Evaluation for Health Professions 2018;15(1):26-
PURPOSE: This study aimed to identify the best way of developing equivalent item sets and to propose a stable and effective management plan for periodical licensing examinations. METHODS: Five pre-equated item sets were developed based on the predicted correct answer rate of each item using linear programming. These pre-equated item sets were compared to the ones that were developed with a random item selection method based on the actual correct answer rate (ACAR) and difficulty from item response theory (IRT). The results with and without common items were also compared in the same way. ACAR and the IRT difficulty were used to determine whether there was a significant difference between the pre-equating conditions. RESULTS: There was a statistically significant difference in IRT difficulty among the results from different pre-equated conditions. The predicted correct answer rate was divided using 2 or 3 difficulty categories, and the ACAR and IRT difficulty parameters of the 5 item sets were equally constructed. Comparing the item set conditions with and without common items, including common items did not make a significant contribution to the equating of the 5 item sets. CONCLUSION: This study suggested that the linear programming method is applicable to construct equated-item sets that reflect each content area. The suggested best method to construct equated item sets is to divide the predicted correct answer rate using 2 or 3 difficulty categories, regardless of common items. If pre-equated item sets are required to construct a test based on the actual data, several methods should be considered by simulation studies to determine which is optimal before administering a real test.
Licensure
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Methods
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Programming, Linear
2.Optimization of Dose Distribution for High Dose Rate Intraluminal Therapy.
Sung Sil CHU ; Gwi Eon KIM ; Juhn Kyu LOH
Journal of the Korean Society for Therapeutic Radiology 1994;12(2):243-252
The use of high dose rate remote afterloading system for the treatment of intraluminal lesions necessitates the need for a more accurate of dose distributions around the high intensity brachytherapy sources, doses are often prescribed to a distance of few centimeters from the linear source, and in this range the dose distribution is very difficult to assess. Accurated and optimized dose calculation with stable numerical algorithms by PC level computer was required to treatment intraluminal lesions by high dose rate brachytherapy system. The exposure rate from sources was calculated with Sievert integral and dose rate in tissue was calculated with Meisberger equation. An algorithm for generating a treatment plan with optimized dose distribution was developed for high dose rate intraluminal radiotherapy. The treatment volume becomes the locus of the constrained target surface points that is the specified radial distance from the source dwelling positions. The treatment target volume may be alternately outlined on a x-ray film of the implant dummy sources. The routine used a linear programming formulism to compute which dwell time at each position to irradiate the constrained dose rate at the target surface points whiles minimizing the total volume integrated dose to the patient. The exposure rate and the dose distribution to be confirmed the result of calculation with algorithm were measured with film dosimetry, TLD and small size ion chambers.
Brachytherapy
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Film Dosimetry
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Humans
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Programming, Linear
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Radiotherapy
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X-Ray Film
3.Study on the 3D mathematical mode of the muscle groups applied to human mandible by a linear programming method.
Dongmei WANG ; Liniu YU ; Xianlian ZHOU ; Chengtao WANG
Journal of Biomedical Engineering 2004;21(1):85-88
Four types of 3D mathematical mode of the muscle groups applied to the human mandible have been developed. One is based on electromyography (EMG) and the others are based on linear programming with different objective function. Each model contains 26 muscle forces and two joint forces, allowing simulation of static bite forces and concomitant joint reaction forces for various bite point locations and mandibular positions. In this paper, the method of image processing to measure the position and direction of muscle forces according to 3D CAD model was built with CT data. Matlab optimization toolbox is applied to solve the three modes based on linear programming. Results show that the model with an objective function requiring a minimum sum of the tensions in the muscles is reasonable and agrees very well with the normal physiology activity.
Bite Force
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Computer Simulation
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Electromyography
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Humans
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Mandible
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physiology
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Programming, Linear
4.Designing optimized food intake patterns for Korean adults using linear programming (I): analysis of data from the 2010~2014 Korea National Health and Nutrition Examination Survey
Kana ASANO ; Hongsuk YANG ; Youngmi LEE ; Jihyun YOON
Journal of Nutrition and Health 2018;51(1):73-86
PURPOSE: The aim of this study was to design optimized food intake patterns that meet the nutritional recommendations with minimal changes from the current food intake patterns among Korean adults using linear programming. METHODS: Data of a one day 24-hour dietary recall from the 2010~2014 Korea National Health and Nutrition Survey were used to quantify the food items that Korean adults usually consumed. These food items were categorized into seven groups and 24 subgroups. The mean intakes and intake distributions of the food groups and the food subgroups were calculated for eight age (19~29, 30~49, 50~64, and over 65 years old) and gender (male and female) groups. A linear programming model was constructed to minimize the difference between the optimized and mean intakes of the food subgroups while meeting the Dietary Reference Intakes for Koreans (KDRIs) for energy and 13 nutrients, and not exceeding the typical quantities of each food subgroup consumed by the respective age and gender groups. RESULTS: The optimized food intake patterns, which were a set of quantities of 24 food subgroups, were obtained mathematically for eight age and gender groups. Overall, major modifications of current diet were required to increase the intake of vegetables and milk/dairy products and decrease the Kimchi intake. The optimized intake of seasonings, including salt, was calculated to be 0 g for all the age and gender groups. CONCLUSION: The optimized food intake patterns designed using linear programming in this study lack feasibility because they suggest a seasoning consumption of 0 g. Modification of intake goal for sodium is needed to obtain optimized food intake patterns with improved feasibility.
Adult
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Diet
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Eating
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Humans
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Korea
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Nutrition Surveys
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Nutritional Requirements
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Programming, Linear
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Recommended Dietary Allowances
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Seasons
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Sodium
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Vegetables
5.Designing optimized food intake patterns for Korean adults using linear programming (II): adjustment of the optimized food intake pattern by establishing stepwise intake goals of sodium
Kana ASANO ; Hongsuk YANG ; Youngmi LEE ; Meeyoung KIM ; Jihyun YOON
Journal of Nutrition and Health 2019;52(4):342-353
PURPOSE: The Dietary Reference Intakes for Koreans (KDRIs) suggest that the goal for the intake of sodium should be less than 2,000 mg, which is thought to be infeasible to achieve when eating the typical Korean diet. This study aimed to obtain the new intake goals for sodium with improved feasibility to achieve, and also to design optimized food intake patterns for Korean adults by performing linear programming. METHODS: The data from a one day 24-hour dietary recall of the 2010 ~ 2014 Korea National Health and Nutrition Survey were used to quantify food items that Korean adults usually consumed. These food items were categorized into seven groups and 24 subgroups. The mean intakes and intake distributions of the food groups and the food subgroups were calculated for eight age (19 ~ 29, 30 ~ 49, 50 ~ 64, and over 65 years old) and gender (male and female) groups. A linear programming model was constructed to minimize the difference between the optimized intakes and the mean intakes of the food subgroups while meeting KDRIs for energy and 13 nutrients, and not exceeding the typical quantities of each of the food subgroups consumed by the respective age and gender groups. As an initial solution of the linear programming, the optimized intake of seasonings, including salt, was calculated as 0 g for all the age and gender groups when the sodium constraint was inserted not to exceed 2,000 mg. Therefore, the sodium constraint was progressively increased by 100 mg until the optimized intake of seasoning was obtained as the values closest to the 25(th) percentile of the intake distribution of seasonings for the respective age and gender groups. RESULTS: The optimized food intake patterns were mathematically obtained by performing linear programming when the sodium constraint values were 3,600 mg, 4,500 mg, 4,200 mg, 3,400 mg, 2,800 mg, 3,100 mg, 3,100 mg, and 2,500 mg for the eight age and gender groups. CONCLUSION: The optimized food intake patterns for Korean adults were designed by performing linear programming after increasing the sodium constraint values from 2,000 mg to 2500 ~ 4,500 mg according to the age and gender groups. The resulting patterns suggest that current diets should be modified to increase the intake of vegetables for all the groups, milk/dairy products for the female groups, and fruits for the female groups except for the females aged 50 ~ 64 years.
Adult
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Diet
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Eating
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Female
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Fruit
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Humans
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Korea
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Nutrition Surveys
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Nutritional Requirements
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Programming, Linear
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Recommended Dietary Allowances
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Seasons
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Sodium
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Vegetables