Few studies have considered the functional relationship model for circular variables. Anuar has proposed a new model of Circular Simultaneous Functional Relationship Model for equal variances. However, the confidence interval for all parameter estimates in this model has not received any consideration in any literature. This paper proposes the confidence interval for all parameter estimates of von Mises distribution in this model. The parameters are estimated using minimum sum (ms) and polyroot function provided in (built-in package) Splus statistical software. The parameters confidence may be obtained from parameter estimation. Those estimation values are obtained by minimizing the negative value of the log-likelihood function. Then, the confidence interval for all parameters based on the bootstrap method will be compared with the normal asymptotic confidence interval via simulation studies. It is found that bootstrap method is the superior method by measuring the performance using coverage probability and expected length. The confidence intervals are illustrated using real wind direction data of Bayan Lepas that collected at 16.3 m above ground level, latitude 05°18’N and longitude 100°16’E. The results showed that the estimate parameters fall between the estimate interval, and we note that the method works well for this model.
Introduction: Immunotherapy has proven its efficacy in multiple
randomized control trials (RCT) in treating allergic rhinitis (AR) as it
induces induces long term remission after discontinuation and prevent
new sensitization. Objective: Our aim is to look into earliest
improvement of quality of life (QOL) in AR patient treated with
Sublingual immunotherapy (SLIT). Methodology: Patients who were
sensitized to dust mites (Dermatophagoides farinae, Dermatophagoides
pteronyssinus and Blomia tropicalis) were enrolled into the study. All
patients were treated with SLIT for 6 months. The patients were assessed
using rhinoconjunctivitis quality of life questionnaires (RQLQ) and peak
nasal inspiratory flow (PNIF) pre-treatment at 1, 3 and 6 months post
SLIT. The usage of intranasal corticosteroids (INS) and antihistamine
were documented in medication diary. The data for pre and post treatment
for RQLQ results were analysed using paired T-test and medication diary
were analysed using ANOVA test. Results: A total of 53 patients were
enrolled in the study. The mean RQLQ score showed significant result at
3 and 6 months post SLIT (p<0.05). Significant improvement
seen in the mean PNIF value pre-treatment (81.54 L/min ±29.36 ) compared
to mean PNIF value at 3 months (92.0L/min ±29.03 ) and 6 months
(96.13L/min ±26.67) post SLIT (p<0.05). The dependency of
patients towards pharmacotherapy also showed a significant reduction at
3 and 6 months post SLIT (p<0.05). Conclusion: Our study
showed a significant improvement of patients’ quality of life as early
as 3 months of post SLIT treatment.
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