What is Longitudinal: Definition and 143 Discussions

A longitudinal study (or longitudinal survey, or panel study) is a research design that involves repeated observations of the same variables (e.g., people) over short or long periods of time (i.e., uses longitudinal data). It is often a type of observational study, although they can also be structured as longitudinal randomized experiments.Longitudinal studies are often used in social-personality and clinical psychology, to study rapid fluctuations in behaviors, thoughts, and emotions from moment to moment or day to day; in developmental psychology, to study developmental trends across the life span; and in sociology, to study life events throughout lifetimes or generations; and in consumer research and political polling to study consumer trends. The reason for this is that, unlike cross-sectional studies, in which different individuals with the same characteristics are compared, longitudinal studies track the same people, and so the differences observed in those people are less likely to be the result of cultural differences across generations. Longitudinal studies thus make observing changes more accurate and are applied in various other fields. In medicine, the design is used to uncover predictors of certain diseases. In advertising, the design is used to identify the changes that advertising has produced in the attitudes and behaviors of those within the target audience who have seen the advertising campaign. Longitudinal studies allow social scientists to distinguish short from long-term phenomena, such as poverty. If the poverty rate is 10% at a point in time, this may mean that 10% of the population are always poor or that the whole population experiences poverty for 10% of the time.
When longitudinal studies are observational, in the sense that they observe the state of the world without manipulating it, it has been argued that they may have less power to detect causal relationships than experiments. However, because of the repeated observation at the individual level, they have more power than cross-sectional observational studies, by virtue of being able to exclude time-invariant unobserved individual differences and also of observing the temporal order of events. Some of the disadvantages of longitudinal study are that they are time-consuming and expensive. Therefore, they are not convenient.Longitudinal studies can be retrospective (looking back in time, thus using existing data such as medical records or claims database) or prospective (requiring the collection of new data).Cohort studies are one type of longitudinal study which sample a cohort (a group of people who share a defining characteristic, typically who experienced a common event in a selected period, such as birth or graduation) and perform cross-section observations at intervals through time. However, not all longitudinal studies are cohort studies, as longitudinal studies can instead include a group of people who do not share a common event.Longitudinal studies do not require large numbers of participants (as in the examples below). Qualitative longitudinal studies may include only a handful of participants, and longitudinal pilot or feasibility studies often have fewer than 100 participants.

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  1. K

    Can light travel as a longitudinal wave?

    If i have a charge in a vacuum, and I oscillate it at some frequency in x direction, other charges along the x direction will be caused to oscillate in the x direction. So why was I always taught that the direction of oscillation is always perpendicular to the direction of travel for EM waves?
  2. K

    Longitudinal waves in a quartz plate

    Homework Statement In a quartz longitudinal waves produce peaks on the 2 sides of the plate. the base frequency is: ##f_1=\frac{2.87E5}{s}## Where s is the thickness. calculate Young's modulus of quartz. \rho=specific mass=2.66[gr/cm3] Homework Equations \lambda=wavelength, u=velocity...
  3. K

    Longitudinal standing waves in gas

    Homework Statement In the uppermost drawing is a propagating wave. the distance between two successive high pressure areas, as seen in the picture, is the wavelength \lambda, but in the drawing just underneath it, the Kunt pipe, the distance between two successive heaps of cork is \lambda/2...
  4. K

    Calculating Time Difference of Longitudinal Waves in Steel Pipe

    Homework Statement A steel pipe of length 60m is hit at one side. a man standing at the other side hears 2 sounds, one that passes in the pipe and one through the air. what is the time difference. Take the modulus of elasticity as 2,180,000[kgf/cm2] Homework Equations Velocity in the...
  5. matt_crouch

    Lorentz Transform of Radial & Longitudinal Dependent Magnetic Field

    Basically I am trying to lorentz transform the magnetic field along θ of a bunch particles which have a gaussian distribution to the radial electric field. However the magnetic field in θ is dependent on the longitiudinal distribution. Now initially i thought we would just use the standard LT...
  6. J

    Longitudinal heat transfer material?

    hi, I am running some scientific experiments, and I need a sheet of materials that is extremely good conductor of heat in z axis (through its thickness), I mean it is a good longitudinal heat conductor. I have been doing some researches and some people told me Ni and Mo foils are good at 90...
  7. E

    Longitudinal strain rate derivation

    Hi, The attachment below is about strain rate in fluids*. It shows how the strain rate d\phi/dt is related to the velocity field derivative du/dx when you stretch the element in x (i.e. longitudinal strain). It has no intermediate steps, and I can't see how the angle has been related to...
  8. S

    Transverse and longitudinal waves

    let me make it clear this is NOT A HOMEWORK.i am just having a doubt. if there is a rope passing through two parallel vertical slits placed close to each other. The rope is fixed and if it's moved up and down perpendicular to its length,transverse waves are generated with vibrations parallel...
  9. P

    Surface waves vs longitudinal waves

    in fluid only longitudinal waves propagate but in Ocean water both transverse and longitudinal waves propagate. Does that mean Ocean water is not a fluid? I am confused. Can anyone explain please.(Longitudinal wave is the evidence for Earth core is liquid)
  10. T

    Why light is not considered as a longitudinal wave?

    I would like see the reasons why light is not considered as a LWave
  11. G

    How Does Time Dilation Affect Photon Transmission in Relative Motion?

    A and B leave from a common point and travel in opposite directions with relative speed v. When B’s clock shows that a time T has elapsed, he (B) sends out a light signal. When A receives the signal, what time does his (A’s) clock show? Answer this question by doing the calculation entirely...
  12. N

    MHB Longitudinal excitation of a sine wave

    Hi! This is a problem regarding a quarter car model driving over a sinusoidal road excitation. A sinusoidal excitation can be written on the form ze^(jωt), z being vertical. I would like to write the longitudinal excitation of a sine wave on the same form? Any hints and tips are much appreciated.
  13. N

    What is the fundamental frequency of standing longitudinal waves?

    Homework Statement How to find the fundamental frequency of standing longitudinal waves?Are they similar to standing transverse waves? Homework Equations none The Attempt at a Solution I know pretty much about standing transverse waves in strings. But i am confused about standing...
  14. I

    Wave Equation applied to a spring with longitudinal waves?

    Homework Statement A spring of mass m, stiffness s and length L is stretched to a length L + l. When longitudinal waves propagate along the spring the equation of motion of a length dx may be written pdx second partial derivative of n with respect to t = partial derivative of F with respect to...
  15. S

    Longitudinal plasmon oscillation

    Kittel solid state physics book ( chapter 14)says when dielectric permittivity is zero, then longitudinal polarization wave possibly exists. It is hard to imagine how this is possible. Can anybody explain this? If the permittivity is zero, then there shouldn'n be any response, right? How come...
  16. E

    Longitudinal Wave Equation meaning and derivation

    Hi, I have recently been studying waves, and I understand the transversal wave formula y=Asin(w(t-x/v)) which gives the y coordinate of a point at x along the x-axis in the instant t. However, Wikipedia (http://en.wikipedia.org/wiki/Longitudinal_wave) gives this as the equation for...
  17. N

    Studying Longitudinal Oscillations of a Stick

    Hello. I have got question. We have stick (its diameter is much smaller than its length). When you hit it with a hammer into a corner, some waves will spread, it is clear. However, how do they look? I'm interested in longitudinal oscillations stick. How can draw these wavefront? How their shape...
  18. V

    Longitudinal Waves in Air (Experimentally determining the speed of sound)

    Problem: In my physics class, we conducted an experiment involving a column of air set vibrating by a tuning fork of a known frequency f held at the upper end. The wave travels from the source to a fixed end (namely the water in the lower end of the tube) & reflected back to the source...
  19. S

    Longitudinal Waves - are they very different?

    Homework Statement A continuous sinusoidal longitudinal wave is sent along a coil spring from a vibrating source attached to it. The frequency of the source is 25vib/sec, and the distance between successive rarefactions in the spring is 24cm. a) Find the wave speed b) if the max...
  20. R

    Pushing solid objects and longitudinal waves

    Hi All, I am still trying to wrap my head around the five light year stick and the idea that if you push an object, it moves because longitudinal waves of compression force (?) are sent through the medium of whatever the object is made of: https://www.physicsforums.com/showthread.php?t=386687...
  21. G

    Aerodynamic efficiency and static longitudinal stability

    Hello, I am looking for research results, report etc. dealing with -aerodynamic efficiency and static longitudinal stability- Couldn´t find anything useful yet! Any ideas would be very much appreciated. Best Regards, granby
  22. P

    How Can Longitudinal Width Be Calculated in W Boson Decay Processes?

    Homework Statement Hello, Given the decay: H \rightarrow W^{-} + \bar{s} + c, where it only matters that \bar{s} and c are fermions and W^{-} is the W boson. If one knows the total width of the process how can we calculate the longitudinal width? Homework Equations In the frame...
  23. M

    Longitudinal Stability Anlaysis Beginner Help

    Hello all and thanks in advance for whatever help you might be able to offer. I am currently working on a project where I am trying to find the A matrix for longitudinal stability analysis, ultimately to get my short period and phugoid modes to determine my level of handling (for any of you...
  24. TrickyDicky

    Longitudinal magnetic forces in conductors

    Is there a simple way to understand within classical electrodynamics (or QED) the experiments that show longitudinal forces in conductors that are capable of breaking wires when enough current is conducted and are not due to melting or pinch effect?
  25. P

    Speed of longitudinal wave 30 times the speed of a transverse wave?

    Homework Statement What must be the stress (F/A) in a stretched wire of a material whose Young's modulus is Y for the speed of longitudinal waves to equal 30 times the speed of transverse waves? Homework Equations Y=\frac{Fl_0}{Al} v_L=f\lambda = \sqrt{F/\mu} v_T = \omega A...
  26. B

    Derive expressions for the transvers modulus and the longitudinal modulus of

    Homework Statement A composite material is made from a matrix with a tensile modulus of 5 GPa and two different continuous fibres with moduli of 360 GPa (type !) and 450 GPa (type B) respectively. a) Derive expressions for the transverse modulus and the longitudinal modulus of a...
  27. G

    Difference between longitudinal and transverse refractive indices

    hi All, as the title suggests, I a not so clear on the difference between the two. in particular in solids, I have been looking at various approached to calculating the refractive index. But I´m not so clear on why there is two descriptions of we have a homogeneous medium. thnks!
  28. R

    How does density affect pressure in longitudinal waves?

    In my textbook they have introduced the concept of longitudinal waves and go on to explain what a compression and what a rarefaction is.It is written- "In a compression, there is a temporary increase in the density of the medium; and in a rarefaction,there is a temporary decrease in the density...
  29. A

    The compressive longitudinal strain

    Hello, is the strain defined as the absolute deformation to the initial ? i.e is it always positive ?? If Yes , then poission's ration is negative for compression of ordinary materials ?
  30. A

    Compressions and Rarefactions in longitudinal waves

    I know this may seem quite trivial but I just want to make sure, do the compressions in a longitudinal wave represent the highest displacement, in a transverse wave this is known as the crest, and do rarefactions represent the equivalent of troughs in longitudinal waves? Thank you in advance
  31. N

    Longitudinal modes in a fibre laser

    Hi In the Wiki article on longitudinal modes (http://en.wikipedia.org/wiki/Longitudinal_mode) they state that: "The analysis of longitudinal modes is especially important in lasers with single transversal mode, for example, in single-mode fiber lasers. The number of longitudinal modes of such...
  32. C

    Rate of energy transfer of a longitudinal wave?

    I'm reading about this now. Apparently dividing the expression for the kinetic energy that a slice of air possesses at a point in time by time gives you the rate of energy transfer of the wave. This makes no sense to me.
  33. 1

    Differentiating between shear and longitudinal acoustic waves in a solid

    Hi there, I should probably know this (attempting to do a PhD in physics!) but is there a way to differentiate between longitudinal and shear acoustic waves in a solid? I know that seismologists know which is which by using the time of flight difference for the two types of waves and the...
  34. N

    Testing Wave Properties in a School Lab: Longitudinal or Transverse?

    I have looked everywhere to find a simple, easy test to find whether a wave is longitudinal or transverse, I've read my textbook and I think it may be to do with polarisation but I am not quite sure how, or someone said that passing the wave through a vacuum would determine the type of wave. any...
  35. P

    Wavefronts and Longitudinal Waves Displacement-Time Graph

    Hi, I am studying waves and I am having a hard time understanding the following concepts: Wavefronts: I understand the principle. The only thing confusing me is when my teacher was explaining, he drew a light ray and lines perpendicular to that ray and he said those were the crests of the...
  36. D

    Exploring Longitudinal Wave Dynamics: Theoretical vs Numerical Analysis

    I am doing some study into longitudinal wave dynamics. I am using theoretical models of wave motion in continuous bar and comparing this to numerical analysis using a lumped mass model. So far I have discovered that the continuous bar vibrations, caused by base support motion (i.e. vibration...
  37. M

    Longitudinal and transverse wave propagation

    Why do transverse waves propagate through solids , while logitudinal waves can only propagate through fluids?? I'm still confused about this
  38. J

    Wave Encyclopedia: Examples of Transverse & Longitudinal Waves

    As I'm sure many of you know, waves can be either transverse or longitudinal. Transverse waves involve vibrations that are perpendicular to the propagation (direction of motion) of the wave, and longitudinal waves' vibrations are parallel to the wave's propagation. Electromagnetic waves such...
  39. B

    Longitudinal wave from one thin rod to another

    Homework Statement Suppose a thin rod of silver (E = 83 GPa, \rho = 10.5 g/cm3) is joined to a thin rod of gold (E = 78 GPa, \rho = 19.3 g/cm3). Both rods have the same cross sectional area, and a longitudinal wave passes from the silver into the gold. What amplitude will the transmitted...
  40. Z

    Velocity of Longitudinal Waves

    Does the formula for velocity of the wave = wavelength * frequency hold true for longitudinal waves (like sound wave) also? If yes then we don't find the velocity of sound by any such formula. Moreover, is the wavelength and frequency defined for longitudinal waves?
  41. A

    Longitudinal and transverse waves

    Longitudinal and transverse waves... Homework Statement A string is stretched so that its length is increased by 1/n of its original length. The ratio of fundamental frequency of transverse vibration to that of fundamental frequency of longitudinal vibration will be? Homework Equations...
  42. T

    Finding Longitudinal Data of Star Magnitudes in Surveys

    I am trying to find some sky surveys that have longitudinal data of star magnitudes. The passband does not matter. All that matters is that stars has been observed periodically for a decent amount of time (no surveys with only 9-10 observations per catalogue object). Sadly, the only ones I know...
  43. H

    Do Longitudinal Electric Waves Exist?

    This minimal-math question may have been answered in other thread(s) but they were too mathematical for me... Feynman explains clearly, with minimal math, that electromagnetic dipole radiation on axis rapidly approaches zero with distance. But I am wondering if there is not measurable...
  44. N

    Transverse and Longitudinal Sound Waves

    What causes sound waves to be solely longitudinal in gas, liquid, and plasmas, but enables longitudinal and transverse in solids? Also, does solids only mean crystalline structures or are amorphous materials also able to support transverse sound waves?
  45. Y

    Longitudinal waves have a crest or not ?

    longitudinal waves have a crest or not ? I am not sure.
  46. L

    Stadium Wave as Longitudinal Wave in Terms of Transmission

    So, the common high school physics example of a transverse wave is a "stadium wave" ... but, I'm wondering if this is actually longitudinal in terms of particle transmission. Each particle (audience member) is only standing up/down. The particles/audience stay in place and don't propagate/run...
  47. S

    How to calculate the acceleration of a longitudinal wave (seismics)

    My question is - is it appropriate to calculate the acceleration of a wave passing through an accelerometer as a=Aw2sin(wt). I've assumed my maximum amplitude, A (in meters) is no more than that created by my vibrating device (or at least at that order of magnitude, 10um). I basically created a...
  48. S

    Longitudinal resistivity in the Quantum Hall Effect

    My only problem with a basic conceptual understanding of the Quantum Hall Effect is the relation between longitudinal conductivity and resistivity when the magnetic field is such that the filling factor is an integer, and the Hall resistance is quantized. I fully understand the splitting of the...
  49. C

    Electron double-slit experiment transverse or longitudinal waves?

    In the case of the double-slit experiment using electrons, what kind of interference pattern is created? Characteristic to transverse or longitudinal waves? Can we tell only analyzing the interference pattern what type of waves created it? Thanks!
  50. R

    Velocity of longitudinal waves in a solid.

    Homework Statement Our lecturer gave us a general equation for velocity of waves; (where c= wave velocity) c= \sqrt{\frac{\textrm{springiness}}{\textrm{massiness}}} (Excuse the terms, I'd personally rather have been given the equations here..) So for transverse waves on a string/wire...
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