A step-by-step guide to non-linear regression analysis of experimental data using a Microsoft Excel spreadsheet
نویسنده
چکیده
The objective of this present study was to introduce a simple, easily understood method for carrying out non-linear regression analysis based on user input functions. While it is relatively straightforward to fit data with simple functions such as linear or logarithmic functions, fitting data with more complicated non-linear functions is more difficult. Commercial specialist programmes are available that will carry out this analysis, but these programmes are expensive and are not intuitive to learn. An alternative method described here is to use the SOLVER function of the ubiquitous spreadsheet programme Microsoft Excel, which employs an iterative least squares fitting routine to produce the optimal goodness of fit between data and function. The intent of this paper is to lead the reader through an easily understood step-by-step guide to implementing this method, which can be applied to any function in the form y=f(x), and is well suited to fast, reliable analysis of data in all fields of biology.
منابع مشابه
Tutorial Review: Simulation of Oscillating Chemical Reactions Using Microsoft Excel Macros
Oscillating reactions are one of the most interesting topics in chemistry and analytical chemistry. Fluctuations in concentrations of one the reacting species (usually a reaction intermediate) create an oscillating chemical reaction. In oscillating systems, the reaction is far from thermodynamic equilibrium. In these systems, at least one autocatalytic step is required. Developing an instinctiv...
متن کاملMonte Carlo simulation of parameter confidence intervals for non-linear regression analysis of biological data using Microsoft Excel
This study describes a method to obtain parameter confidence intervals from the fitting of non-linear functions to experimental data, using the SOLVER and Analysis ToolPaK Add-In of the Microsoft Excel spreadsheet. Previously we have shown that Excel can fit complex multiple functions to biological data, obtaining values equivalent to those returned by more specialized statistical or mathematic...
متن کاملFormulation of Least-Cost Dairy Ration for Small-Scale Dairy Farms Using ‘Solver Add-Ins’ in Microsoft Excel
Small-scale dairy farming in Bangladesh is constrained mostly due to acute shortage, high price and seasonal fluctuation of energy and protein supplements. Poor economic conditions of dairy farmers do not allow them to purchase adequate conventional energy and protein supplements. Locally available non-conventional energy and protein sources can be used as alternatives, cheaper than conventiona...
متن کاملEstimating the Distribution of Demand Using Bounded Sales Data
Flight capacity can be modified by using different seating configurations or different aircraft. An airline planning department wants to estimate the distribution of demand for a specific flight as an aid for deciding on flight capacity. Historical sales data for a specific flight are available, but the number of passenger tickets sold is bounded by the number of seats available. The planners a...
متن کاملPREDICTION OF LOAD DEFLECTION BEHAVIOUR OF TWO WAY RC SLAB USING NEURAL NETWORK APPROACH
Reinforced concrete (RC) slabs exhibit complexities in their structural behavior under load due to the composite nature of the material and the multitude and variety of factors that affect such behavior. Current methods for determining the load-deflection behavior of reinforced concrete slabs are limited in scope and are mostly dependable on the results of experimental tests. In this study, an ...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
- Computer methods and programs in biomedicine
دوره 65 3 شماره
صفحات -
تاریخ انتشار 2001