Abstract
High plasma cholesterol (particularly high LDL-cholesterol) is a high risk factor for coronary heart disease (CHD), which causes a high CHD morbidity and mortality. Besides clinical drugs, more and more interest is focused on finding natural components in the diet that may have hypocholesterolemic effects. Plant sterols are natural components in human diets and found to have cholesterol-lowering effects in humans. Sheanut oil has a relatively high amolmt of plant sterols. Therefore, the two experiments were designed to investigate the hypocholesterolemic effect of sheanut oil in hamsters. The response was not monotonic. Low doses increased plasma cholesterol, but high doses decreased plasma cholesterol. Because there was partial dose repetition between the two experiments, the two were combined together to estimate the dose leading to the highest cholesterol concentration and the dose leading to the same cholesterol concentration as the control group. A quadratic model was selected to fit the combined data after appropriate transformation of exploratory and response variable. Nonparametric smoothing method was used to justify the quadratic model. The results of point estimation and confidence interval were compared by Delta, Fieller's and bootstrapping methods.
Keywords
High plasma cholesterol, plant sterols, smoothing, Delta, Fieller's, bootstrapping
Creative Commons License
This work is licensed under a Creative Commons Attribution-Noncommercial-No Derivative Works 4.0 License.
Recommended Citation
Zhang, Wuyan; Nissen, Steve; Beitz, Donald; and Dixon, Philip
(2003).
"QUADRATIC MODEL TO ESTIMATE THE DOSES CAUSING THE HIGHEST CHOLESTEROL CONCENTRATION AND THE SAME CHOLESTEROL CONCENTRATION AS CONTROL GROUP,"
Conference on Applied Statistics in Agriculture.
https://doi.org/10.4148/2475-7772.1176
QUADRATIC MODEL TO ESTIMATE THE DOSES CAUSING THE HIGHEST CHOLESTEROL CONCENTRATION AND THE SAME CHOLESTEROL CONCENTRATION AS CONTROL GROUP
High plasma cholesterol (particularly high LDL-cholesterol) is a high risk factor for coronary heart disease (CHD), which causes a high CHD morbidity and mortality. Besides clinical drugs, more and more interest is focused on finding natural components in the diet that may have hypocholesterolemic effects. Plant sterols are natural components in human diets and found to have cholesterol-lowering effects in humans. Sheanut oil has a relatively high amolmt of plant sterols. Therefore, the two experiments were designed to investigate the hypocholesterolemic effect of sheanut oil in hamsters. The response was not monotonic. Low doses increased plasma cholesterol, but high doses decreased plasma cholesterol. Because there was partial dose repetition between the two experiments, the two were combined together to estimate the dose leading to the highest cholesterol concentration and the dose leading to the same cholesterol concentration as the control group. A quadratic model was selected to fit the combined data after appropriate transformation of exploratory and response variable. Nonparametric smoothing method was used to justify the quadratic model. The results of point estimation and confidence interval were compared by Delta, Fieller's and bootstrapping methods.
